Q12 of 111 Page 5

Factorize each of the following expressions:

(x+2)3+(x-2)3

Given,


(x+2)3 + (x - 2)3 = (x + 2 + x - 2) { (x + 2)2 + (x - 2)2 – (x + 2)(x - 2) }


= 2x (x2 + 4 + 4x + x2 + 4 – 4x – x2 + 4)


= 2x (x2 +12)


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