Question

Simplify the following.(2x-y)(x+2y)​

Answer 1

`=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`