Question

(x+y)² + 2(x+ y)(x- y) + (x– y)²

Answer 1

2x(x+y)(x-y)

Explanation:

Given the expression;

(x+y)² + 2(x+ y)(x- y) + (x– y)²

Factorize

(x+y)² + (x+ y)(x- y) + (x+ y)(x- y) + (x– y)²

= (x+y)[x+y+(x-y)] +(x-y)[(x+y)+(x-y)]

= (x+y)(x-y)(x+y+(x-y))

= (x+y)(x-y)(x+y+x-y)

= (x+y)(x-y)(2x)

hence the expanded form is 2x(x+y)(x-y)