Question

Simplify (2x + y)(x - 2y) - (x + 2y)(2x - y) as much as possible.

Answer 1

-6xy

Explanation:

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

remove the parentheses

2x^2-4xy+xy-2y^2-(2x^2-xy+4xy-2y^2)

collect terms

2x^2-4xy+xy-2y^2-(2x^2+3xy-2y^2)

remove the parentheses

2x^2-4xy+xy-2y^2-2x^2-3xy+2y^2

remove the opposites, collect the terms to get -6xy