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## Luigi0210 one year ago Find the 3rd term in: Delete Cancel Submit

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1. Luigi0210
• one year ago
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$\LARGE (x+y)^4$

2. shamil98
• one year ago
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The 3 term?

3. shamil98
• one year ago
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4. myininaya
• one year ago
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I think he means to find the third term when putting (x+y)^4 in standard descending expanded form.

5. Luigi0210
• one year ago
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Yea, that ^

6. shamil98
• one year ago
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(x+y)(x+y)(x+y)(x+y) er, (x+y) ?

7. myininaya
• one year ago
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Yep multiplying it all out. But there is a shortcut.

8. Luigi0210
• one year ago
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You learned this in Alg II/trig/pre-calc sham :)

9. shamil98
• one year ago
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Just wanted to be sure what he was asking xD

10. shamil98
• one year ago
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it seemed to easy lol. thought it was a trick question o-o

11. myininaya
• one year ago
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You could use pascal's triangle or the binomial theorem

12. shamil98
• one year ago
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$(x+y)^4 = x^4 + 4x^3y + 6x^2y^2 + 4xy^3 + y^4$

13. shamil98
• one year ago
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third term is 6x^2y^2

14. myininaya
• one year ago
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$(a+b)^n=\left(\begin{matrix}n \\ 0\end{matrix}\right)a^na^0+\left(\begin{matrix} n \\ 1\end{matrix}\right)a^{n-1}b^1+\cdots +\left(\begin{matrix}n \\ k\end{matrix}\right)a^{n-k} b^k+\cdots \left(\begin{matrix}n \\ n\end{matrix}\right)a^0b^n$ where that one term that has all the k's is the k+1 term.

• one year ago
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I has a question what is the difference between the diamond shaped smart score, the purple smart score and the green smart score?

16. Kainui
• one year ago
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What's the form of a polynomial who's "pascal triangle" has the form:: |dw:1387987847972:dw|

17. Luigi0210
• one year ago
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I was actually looking for the method that myin mention but others work too :) Thanks everyone!

18. shamil98
• one year ago
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diamond shaped = they sponsor (subscription to OS)

19. shamil98
• one year ago
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purple = moderator

20. shamil98
• one year ago
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green smart score = 90 or higher Our unofficial title is lord

21. Luigi0210
• one year ago
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^Yup

• one year ago
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oh cool beans...i liked the orange though...lol...

23. shamil98
• one year ago
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the days of the orange war are long gone :')

24. Luigi0210
• one year ago
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.. for now

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