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Ilya [14]
2 years ago
11

Simplify the following.(2x-y)(x+2y)​

Mathematics
1 answer:
Kaylis [27]2 years ago
5 0

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

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