Question

factories step by step (2x-3y)(a+b)+(3x-2y)(a+b)

Answer 1

= (2x-3y)(a+b)+(3x-2y)(a+b)

Take (a+b) as common.

= (a+b) [(2x-3y) + (3x-2y)]
= (a+b) [2x-3y+3x-2y]
= (a+b) [5x - 5y]
= (a+b) [5(x-y)]
= 5(a+b)(x-y)

Hope it helps