Question

Factorize (a+b)^2 -11(a+b)-42

Answer 1

(a+b)^2=a^2+2ab+b^2
-11(a+b)=-11a-11b

so,(a+b)^2-11(a+b)-42
=a^2+2ab+b^2-11a-11b-42

Answer 2

(a+b)2-11(a+b)-42
(a+b)2-14(a+b)+3(a+b)-42
[spilliting middle term methhod]
(a+b){a+b-14}+3{(a+b-14)} = (a+b-14)