Simplify the following.(2x-y)(x+2y)

Question

asked Apr 8, 2022 40.8k views

1 Answer

Kikou · Answer 1 · 2022-04-14T11:50:12+0000

Answer:

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

Explanation:

When given the following problem;

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

Distribute, multiply every number in one of the parenthesis by every number in the other;

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

Simplify,

$=(2x)(x)+(2x)(2y)+(-y)(x)+(2y)(-y)\\=2x^2+4xy-xy-2y^2\\=2x^2+3xy-2y^2$

Therefore, the final answer is;

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