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# Factor the perfect square trinomial: x²+24x+144?

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x^2+24x+144

=(x)^2+2*x*12+(12)^2

=(x+12)^2

• Find the two factors of 144 that, when added, have the sum of 24.

Those two numbers are 12 and 12. 12+12=24. 12x12=144

therefore, it is

(x+12) (x+12)

• perfect square....

144 = 12*12

(x+12)(x+12)

• thats a perfect square:

(x + 12)^2
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