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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 5: Q.243. (page 537)

Find the product of the below expression.
$(2 x + y) (x - 2 y)$

Short Answer

Expert verified

The solution is $2 x^{2} - 3 x y - 2 y^{2}$ .

Step by step solution

01

Step 1. Given information.

The given expression is $(2 x + y) (x - 2 y)$ .

02

Step 2. Simplify the expressions by using the distributive property ab±c=ab±ac.

Solve it as follows:

$(2 x + y) (x - 2 y) = 2 x (x - 2 y) + y (x - 2 y) 鈬� 2 x^{2} - 4 x y + x y - 2 y^{2} 鈬� 2 x^{2} - 3 x y - 2 y^{2}$

03

Step 3. Simplified expression.

Hence, the required expression is $2 x^{2} - 3 x y - 2 y^{2}$ .

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