Class 9-10 Math Chapter 3.1 Question No 2 || বীজগাণিতিক রাশি || SSC Math Chapter 3 || Pathon24
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[{'start': '0.240', 'end': '5.279', 'text': 'Assalamu Alaikum\nWelcome to the Maths Solve series of the exercise. I'}, {'start': '5.279', 'end': '12.000', 'text': "am Sharifuddin. I am with you throughout the class. In today's\nvideo, we will basically look at Exercise 3.1,"}, {'start': '12.000', 'end': '18.880', 'text': 'number two, that is, simplify. We will try to\nlook at all the numbers in this video today.'}, {'start': '18.880', 'end': '25.439', 'text': 'We will first start\nwith number A. It is said to simplify.'}, {'start': '25.439', 'end': '30.800', 'text': 'What does it mean to simplify? It means to\nsimplify. There is a big line.'}, {'start': '30.800', 'end': '37.360', 'text': 'We will make it as small as we can.\nNow look at what is'}, {'start': '37.360', 'end': '46.200', 'text': 'written here. It is written as follows: Save P plus th q minus f r\nsquare minus two e. Save P plus th q minus f r e. Save P plus th q minus f r e. Save P plus th q minus f r e. Save P minus a minus a'}, {'start': '58.160', 'end': '65.040', 'text': 'p minus f q minus f r whole square.\nThis gives us this. It tells us to simplify.'}, {'start': '65.040', 'end': '70.799', 'text': 'So, we will first assume that this first\npart is equal to a and this'}, {'start': '70.799', 'end': '78.000', 'text': "next part is equal to b. Now\nif we take this and put it in this.  Let's take B then look"}, {'start': '78.000', 'end': '84.159', 'text': "what's happening here the quantity of matter is\nbecoming A squared because its value is A this A is"}, {'start': '84.159', 'end': '91.400', 'text': 'all A minus two into see its\nvalue is A this is at'}, {'start': '91.400', 'end': '100.799', 'text': 'AB because the value of this bit is B and later\nthis is B that means plus B square A minus A square'}, {'start': '100.799', 'end': '106.560', 'text': 'minus two AB plus B\nsquare what is the formula we all know'}, {'start': '106.560', 'end': '114.079', 'text': 'this is the formula of A minus B whole square\nso this is we know this bit now what we will do now'}, {'start': '114.079', 'end': '121.719', 'text': 'look we put the value of A and B then\nif we put the value of A and B then the'}, {'start': '121.719', 'end': '129.599', 'text': 'value of A is seven P plus\nth Q minus five and this is'}, {'start': '129.599', 'end': '139.360', 'text': 'what we will put the value of A minus\nwhat value we will put the value of B then the'}, {'start': '139.360', 'end': '149.720', 'text': 'value of B is at P\nminus f q minus f and'}, {'start': '149.720', 'end': '158.200', 'text': 'this is A minus B above there is a whole square\nwe put a whole square nice'}, {'start': '158.200', 'end': '164.319', 'text': 'now look now what we will do now is that now if there is a\nminus since then  If you multiply by minus,'}, {'start': '164.319', 'end': '169.360', 'text': 'this will become minus, this will\nbecome plus and this will also become'}, {'start': '169.360', 'end': '175.440', 'text': 'our plus. These two are becoming plus. We\ncan put the brackets up. Now see'}, {'start': '175.440', 'end': '181.800', 'text': 'what can be done now. This is this. This is minus. This is plus. These\ntwo can be cut off'}, {'start': '181.800', 'end': '189.599', 'text': "and seven p\nminus et p. Okay, let's see if"}, {'start': '189.599', 'end': '196.000', 'text': "this is four q and three q, what does it mean? It's\nbecoming seven q, right? It's becoming"}, {'start': '196.000', 'end': '205.040', 'text': 'seven q. Seven q minus minus is minus.\nLook here, eight here is seven.'}, {'start': '205.040', 'end': '210.640', 'text': 'Since the number of minuses is more, that is, there is one more p of minus. The'}, {'start': '210.640', 'end': '219.599', 'text': 'ink is\nnot coming out properly in the pen. Sorry. Okay, what was here? Here was'}, {'start': '219.599', 'end': '228.000', 'text': 'our seven q. Seven q. It was\nminus. One p. Do you understand why minus p is coming?'}, {'start': '228.000', 'end': '234.799', 'text': "Look again, let's\nsay this line again. This is plus and minus"}, {'start': '234.799', 'end': '241.360', 'text': 'five and two are being cut off. And\nlook here, the value of q is three here, four here,'}, {'start': '241.360', 'end': '245.799', 'text': 'both are plus, seven\nhere is eight.  Since the number of minuses of'}, {'start': '245.799', 'end': '251.360', 'text': 'p minus seven p is\nmore than the number of minuses of plus, it means that'}, {'start': '251.360', 'end': '257.919', 'text': 'one is left, there is a square above, we will put a square, we will put a'}, {'start': '257.919', 'end': '264.479', 'text': 'square, okay, now look here, but the formula for a minus b is being read,'}, {'start': '264.479', 'end': '270.000', 'text': 'right?\nA minus b is being read, so the formula for a minus b is being read, so the formula for a minus b is being read, so we'}, {'start': '270.000', 'end': '277.280', 'text': 'do\nseven p at, but this is b. Okay, look, seven q is this,'}, {'start': '277.280', 'end': '284.000', 'text': 'what do we put on\ntop of a, we will put a square on top of a, a square'}, {'start': '284.000', 'end': '291.759', 'text': 'minus the formula for one to a square minus to a, a is our\nseven q a square minus to'}, {'start': '291.759', 'end': '300.000', 'text': 'a and here p\nis b a square minus to ab plus'}, {'start': '300.000', 'end': '306.880', 'text': 'our b square, so plus is b square,\nnow what do we get when we square above seven?'}, {'start': '306.880', 'end': '315.320', 'text': 'We know that when we square above seven, we get 49,\n49 q square minus s plus'}, {'start': '315.320', 'end': '324.560', 'text': '14 p q  14 14 p q plus p squared is\nour simplified answer and'}, {'start': '324.560', 'end': '330.880', 'text': 'this is the answer to the math. The\nlast line is the last line. Hopefully, it turns out that this is'}, {'start': '330.880', 'end': '337.720', 'text': "our answer. Now we will go to the next math. Let's\nsee what the next math is. I will"}, {'start': '337.720', 'end': '344.000', 'text': 'erase this. I will erase this. I will take the\nnext math.'}, {'start': '345.080', 'end': '350.720', 'text': 'Okay, I have taken that math.\nNow I will solve your math.'}, {'start': '350.720', 'end': '357.600', 'text': 'Come on, look. Here, it is in the number b. It is given\na big line here. It is given and it is saying to'}, {'start': '357.600', 'end': '363.919', 'text': 'simplify it. It means to\nsimplify it. It is saying to make it smaller. So, we can'}, {'start': '363.919', 'end': '368.800', 'text': 'see here that\na little formula will be applied here. Look, if we take this here as A, A'}, {'start': '368.800', 'end': '374.880', 'text': 'square minus AB plus B\nsquared. So, the previous'}, {'start': '374.880', 'end': '379.759', 'text': 'math will be the same as we did. The previous math will be the same as I\ndid for you. Since I am doing all the'}, {'start': '379.759', 'end': '386.160', 'text': "math for you, we have to do\nthis too. Okay, let's"}, {'start': '386.160', 'end': '393.120', 'text': 'come to math. Look, from this line here,\nif we take 2 m plus n minus p equals a'}, {'start': '393.120', 'end': '399.520', 'text': 'and if we  2u m minus n plus\np equals b but we are'}, {'start': '399.520', 'end': '405.520', 'text': 'applying a formula so\nsee what happens to the quantity of matter'}, {'start': '405.520', 'end': '412.479', 'text': 'since a means a square this since a\nsquare plus here then it will be b'}, {'start': '412.479', 'end': '420.240', 'text': 'square since this this and this this are the\nsame minus two a is this and b is'}, {'start': '420.240', 'end': '424.960', 'text': 'this so we can write it like this\nnow if I tell you that I will'}, {'start': '424.960', 'end': '431.360', 'text': 'write it a little bit so if I write it in a little bit I can write it like this a\nsquare minus two ab plus b'}, {'start': '431.360', 'end': '437.360', 'text': 'square this is a formula now which formula is it that you remember you should remember\nlook this'}, {'start': '437.360', 'end': '444.160', 'text': 'is that formula a minus b is the square\nformula this is a minus b is the'}, {'start': '444.160', 'end': '451.440', 'text': 'square so a minus b is the square\nnow we put the value of a and b same as'}, {'start': '451.440', 'end': '456.639', 'text': 'I did the previous math\nsee we put the value of it a little bit it is difficult so'}, {'start': '456.639', 'end': '465.759', 'text': '2 m 2 m plus n minus p  This\nis the value of A here minus there is a minus in the middle'}, {'start': '465.759', 'end': '470.080', 'text': 'and the value of B we have to\nput brackets because see because of the minus'}, {'start': '470.080', 'end': '474.319', 'text': 'but our sign will change\nbut we have to keep in mind that there is a minus in the middle'}, {'start': '474.319', 'end': '480.879', 'text': 'but the sign will\nchange okay look then this'}, {'start': '480.879', 'end': '488.639', 'text': 'is 2u\nm minus n plus'}, {'start': '488.680', 'end': '494.240', 'text': 'p this now above since there is a whole square\nwe will put a second bracket and put'}, {'start': '494.240', 'end': '500.479', 'text': 'a whole square now look here\nI am doing it in one'}, {'start': '500.479', 'end': '505.199', 'text': 'line you can write the second line you need look\nhere look I will remove the brackets if I remove this minus'}, {'start': '505.199', 'end': '509.440', 'text': 'because of this minus this will become\nminus this will become plus'}, {'start': '509.440', 'end': '515.440', 'text': 'and this but it will become minus will it become minus will it become\nminus so I'}, {'start': '515.440', 'end': '518.959', 'text': 'put it in the second bracket this\nis yours the line after this line but'}, {'start': '518.959', 'end': '525.200', 'text': "I am not writing anymore\nokay okay now let's do a little calculation and"}, {'start': '525.200', 'end': '532.080', 'text': 'see what actually happens here if I remove this and\nthis will you tell me something'}, {'start': '532.080', 'end': '537.519', 'text': "tell me nothing that I am doing something wrong  I did\nn't leave it out, now if I leave it out,"}, {'start': '537.519', 'end': '544.880', 'text': 'look at the next line, this is where\nn and this is, then we can write six here, no'}, {'start': '544.880', 'end': '550.560', 'text': 'problem, here minus p,\nhere minus p, minus two p, we'}, {'start': '550.560', 'end': '557.519', 'text': 'can write no problem, now there is a whole square above, I\nput a whole square, then here again'}, {'start': '557.519', 'end': '563.040', 'text': 'another formula has fallen that a minus b is a whole\nsquare, if we take this piece as a and if we take this piece as'}, {'start': '563.040', 'end': '568.240', 'text': 'b, we\nknow that this is this formula, basically this'}, {'start': '568.240', 'end': '574.160', 'text': 'formula, but if we put that formula\naccording to that, then six n is'}, {'start': '574.160', 'end': '581.680', 'text': 'a, then the square above a minus two of the\nformula here a is six n b is'}, {'start': '581.680', 'end': '588.640', 'text': 'here two p plus b square here plus\nb square then here b k here b is'}, {'start': '588.640', 'end': '596.080', 'text': 'two n on top of n, we\nput a nice square on top of n, good thing, now we squared six n,'}, {'start': '596.080', 'end': '603.040', 'text': 'how much six will be if we square 36 n on\ntop of n  Square minus six'}, {'start': '603.040', 'end': '609.640', 'text': 'doubled 12 12 doubled\n24 or 24 n p'}, {'start': '609.640', 'end': '618.399', 'text': 'well plus four p squared and finally\nour answer is basically this you can write it here'}, {'start': '618.399', 'end': '623.440', 'text': 'yes\nour math is coming but here the end is very'}, {'start': '623.440', 'end': '629.120', 'text': 'easy look here here the first two numbers I\ndid these two numbers but it is very easy to do it I will'}, {'start': '629.120', 'end': '634.399', 'text': 'go to the next math I will'}, {'start': '634.399', 'end': '637.120', 'text': 'not take it up a little bit it will take a little time'}, {'start': '637.959', 'end': '643.519', 'text': 'well I took the math now I will do the\nmath look the math but it is very'}, {'start': '643.519', 'end': '648.240', 'text': "easy I can do it even if you don't do it\nbut since I am doing all the math"}, {'start': '648.240', 'end': '654.160', 'text': "so I have to do the math well\nlook I told you something in the previous maths let's"}, {'start': '654.160', 'end': '660.640', 'text': 'say if square over two square over two what does that\nmean'}, {'start': '660.640', 'end': '668.000', 'text': 'we know if you square over two then\nsee if two times two still gets four well'}, {'start': '668.000', 'end': '673.680', 'text': "look over three sorry\nnot over three let's put over two let's put over two let's put over two let's put over two to the power of three"}, {'start': '673.680', 'end': '679.120', 'text': 'yes so if we\nput over two to the power of three we know that eight'}, {'start': '679.120', 'end': '688.000', 'text': 'Now look at\nhow many times two is multiplied by two. Look, if you multiply two, you get four times two, you get'}, {'start': '688.000', 'end': '695.680', 'text': "eight. What's happening here? Look,\nhere was a power of three. Here, I'm multiplying three times,"}, {'start': '695.680', 'end': '703.920', 'text': "but I'm getting eight. Basically, whatever\npower there is, if I say"}, {'start': '703.920', 'end': '711.640', 'text': 'five to the power of four, what does that mean? It means four times five, that is, five times five times five times five.'}, {'start': '711.640', 'end': '722.160', 'text': 'Okay, I hope you\nunderstand that here, basically, look, that five times'}, {'start': '722.160', 'end': '729.839', 'text': "five times five means four times five. So\nwhy am I saying these things? There's a reason behind saying these things. The"}, {'start': '729.839', 'end': '736.079', 'text': 'reason is that look,\nif you want to do this math,'}, {'start': '736.079', 'end': '743.760', 'text': 'look here to do the math. These two are one. These two, sorry,\nthese two are one. So can we'}, {'start': '743.760', 'end': '748.240', 'text': 'write it like this here? On the next\nline, but we can write it like this'}, {'start': '748.240', 'end': '752.480', 'text': 'because we saw that if\ntwo is the same, we'}, {'start': '752.480', 'end': '757.440', 'text': 'can write a square on top of it, just\nlike we could write a square on top of two, meaning two times two. In the'}, {'start': '757.440', 'end': '763.120', 'text': "same way, we see that\nwhat's in the middle here, we'll write that part.  I"}, {'start': '763.120', 'end': '768.560', 'text': 'will not change anything, that is, I\nwrote what was there and in the next part,'}, {'start': '768.560', 'end': '775.760', 'text': 'but since we have two 3.65s, now\nwe can write one. Now look,'}, {'start': '775.760', 'end': '780.959', 'text': 'a formula is being applied here. That is,\nif this is taken as A, if this is taken as B, we will'}, {'start': '780.959', 'end': '787.120', 'text': 'not write it as A, but we will think in our minds\nthat in fact, we are assuming AB here, so A'}, {'start': '787.120', 'end': '793.360', 'text': 'squared plus two AB plus B squared,\nthen what is the formula? This is'}, {'start': '793.360', 'end': '798.320', 'text': 'basically the formula for A\nplus B squared. What is the formula for'}, {'start': '798.320', 'end': '805.120', 'text': 'A plus B squared? We know that it is A squared plus two AB plus B\nsquared. Basically, this is what happened here.'}, {'start': '805.120', 'end': '815.600', 'text': 'Basically, this part is here and we will do this\npart. So, A is 6 p35 plus BB.'}, {'start': '815.600', 'end': '820.720', 'text': 'How much is the\nsquare over 3 p65? If we add these two,'}, {'start': '820.720', 'end': '825.920', 'text': 'you add them with a calculator.\nYou will get 10. So, what is the square over 10? What is the'}, {'start': '825.920', 'end': '830.240', 'text': 'square over 10?\nThis is'}, {'start': '830.240', 'end': '835.760', 'text': "why you cannot use a calculator.  It wo\nn't work, look, the same rule, squared over 10"}, {'start': '835.760', 'end': '843.360', 'text': 'means 10 and 10 100 means one and one multiplied by one,\none and two zeros. Earlier, I was'}, {'start': '843.360', 'end': '849.279', 'text': 'talking about a technique in arithmetic that there is a square, if you\nsquare over one, it is one and since it is a square, then'}, {'start': '849.279', 'end': '854.880', 'text': 'double, what would happen if there was a power of three here?\nYou have'}, {'start': '854.880', 'end': '861.040', 'text': 'a question,\nif there is a square, then 10 is 100. This is the'}, {'start': '861.040', 'end': '865.639', 'text': 'answer. There is a square here. If there is a\npower of three here, then'}, {'start': '865.639', 'end': '872.000', 'text': 'tell me.\nOkay, this is the end of the arithmetic.'}, {'start': '872.000', 'end': '878.079', 'text': 'We have another arithmetic later.\nI will calculate that arithmetic a little. Then I will'}, {'start': '878.079', 'end': '884.880', 'text': 'make you do the\nmath. Okay, I can calculate the math. Now,'}, {'start': '884.880', 'end': '891.040', 'text': "look at the previous math, basically, let's\nuse that technique a little bit. This and"}, {'start': '891.040', 'end': '896.000', 'text': 'this are two of the same things as products. We can\nwrite one and square it, that'}, {'start': '896.000', 'end': '901.360', 'text': 'is, what I\nam saying is, we can write this and square it, or we can square it, or we can square it, or we can square it, or we can'}, {'start': '901.360', 'end': '908.480', 'text': 'square it, why?  I can give this thing, I'}, {'start': '908.480', 'end': '914.000', 'text': 'mean if I say that we can do this by\nusing this concept of square over two equals eight,'}, {'start': '914.000', 'end': '919.360', 'text': 'well\nlook later I will write what is below it,'}, {'start': '919.360', 'end': '925.680', 'text': 'I will not do anything more there, well\nI wrote what is here, yes now'}, {'start': '925.680', 'end': '932.480', 'text': 'look here we have to do something,\nwhat will we do now if here we take this as A,'}, {'start': '932.480', 'end': '940.000', 'text': 'take this as B, then what happens a-no B, sorry\nA square minus B square, there is a'}, {'start': '940.000', 'end': '945.279', 'text': 'very popular formula and national formula,\nwe call it a square minus B square,'}, {'start': '945.279', 'end': '952.000', 'text': 'write this formula down if no one remembers\nA plus B into A minus B, then this is the'}, {'start': '952.000', 'end': '957.440', 'text': 'national formula, this kind of formula has to be\napplied here, so here if this is'}, {'start': '957.440', 'end': '962.959', 'text': 'B this is then if\nwe want to apply this kind of formula, then look we will'}, {'start': '962.959', 'end': '969.680', 'text': 'apply this kind of formula, below we have what we had\nfor now, we will write it down,'}, {'start': '969.680', 'end': '976.320', 'text': 'look what was first, first was'}, {'start': '976.320', 'end': '982.199', 'text': 'plus, then we gave plus, then we\ngave multiplication, then we gave multiplication in the middle,'}, {'start': '982.199', 'end': '991.639', 'text': 'then it was minus to minus, do one of minus  It\nwill be safe or'}, {'start': '991.639', 'end': '997.519', 'text': 'beautiful. Now look, something is going to be done here.\nWhat is going to be done now is that we are going to'}, {'start': '997.519', 'end': '1003.120', 'text': 'cut this and this are the\nsame. Since the two are the same, we'}, {'start': '1003.120', 'end': '1007.920', 'text': 'can eliminate the two. Write this line.\nI am eliminating the two. If we'}, {'start': '1007.920', 'end': '1013.680', 'text': 'eliminate the two, this part\nremains. You should take that part and'}, {'start': '1013.680', 'end': '1019.199', 'text': 'write this on the line below. On the line below, I hope\nyou have finished writing. If you have finished writing, it is'}, {'start': '1019.199', 'end': '1025.439', 'text': 'good. Now, if you add the two, the more we get, the more\nour answer will be. Now, I will do the addition'}, {'start': '1025.439', 'end': '1032.240', 'text': "with the calculator. Let's add with the calculator.\nIf we add with the calculator, how much will it be?"}, {'start': '1032.240', 'end': '1035.959', 'text': 'Actually,'}, {'start': '1035.959', 'end': '1040.559', 'text': '2 4. The addition'}, {'start': '1041.000', 'end': '1049.480', 'text': 'number is coming to my calculator. It is 3\n1 3'}, {'start': '1049.480', 'end': '1055.440', 'text': '1. So, you also add with the calculator.\nTell me whether the answer is correct'}, {'start': '1055.440', 'end': '1060.679', 'text': 'or not. It can be wrong. My\ncalculator can also give wrong readings.'}, {'start': '1060.679', 'end': '1065.919', 'text': 'Okay, now, I am ending this video of yours.\nI will finish the'}, {'start': '1065.919', 'end': '1070.880', 'text': 'remaining numbers in the next classes. InshaAllah, I will finish the rest of the numbers in the next classes. So,\nlike today, this is all. This is all. This is'}, {'start': '1070.880', 'end': '1075.840', 'text': 'all.  I invite you to the next class.\nIf you like the classes,'}, {'start': '1075.840', 'end': '1081.840', 'text': 'if you think they will be useful, then I will tell you that you can\nsubscribe to my channel. Thank you'}, {'start': '1081.840', 'end': '1084.840', 'text': 'everyone.'}]