Question

Factorize 36(a+b)^2-16(a-b)^2

Answer 1

Solution :

36(a+b)² - 16(a-b)²

= [6(a+b)]² - [4(a-b)]²

= [6(a+b)+4(a-b)][6(a+b)-4(a-b)]

= (6a+6b+4a-4b)(6a+6b-4a+4b)

= (10a+2b)(2a+10b)

=[2(5a+b)][2(a+5b)]

= 4(5a+b)(a+5b)

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