Question

Factorize: 16 [ a + b ]2 – 9 [ a – b ]2

Answer 1

Step-by-step explanation:

16[a+b]^2-9[a-b]^2

={4(a+b)}^2-{3(a-b)}^2

={4(a+b)+3(a-b)} {4(a+b)-3(a-b)}

=(4a+4b+3a-3b) (4a+4b-3a+3b)

=(7a+b)(a+7b)