Question

Simplify the following.(2x-y)(x+2y)​

Answer 1

Answer:

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

Step-by-step 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;

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