Question

Factirize :
(a+b) ^2-a^2+b^2

Answer 1

(a+b) ^2 - a^2 + b^2

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

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

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

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

= (a+b) (a+b + b - a)

= (a+b) (2b)