Question

Prove the identity(a+b) square=a square+2ab+b square with daigram

Answer 1

given,


a+bwhole square=(a+b)(a+b)
=a*a+a*b+b*a+b*b
=asquare+2(ab)+bsquare.



hope it helps you.

Answer 2

(a+b)square=(a)square+(b)square+2ab

(a+b)*(a+b)=a(a+b)+b(a+b)

(a)square+ab+ab+(b)square

(a)square+(b)square+2ab

             Hence Proved