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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. 267 (page 538)

In the following exercises, simplify the equation $(y^{2} 鈥� 鈭� 鈥� 2 y) (y 鈥� + 鈥� 1)$ .

Short Answer

Expert verified

The simplified expression is $y^{3} - y^{2} - 2 y$ .

Step by step solution

01

Step 1. Given Information.

The expression is $(y^{2} 鈥� 鈭� 鈥� 2 y) (y 鈥� + 鈥� 1)$ .

02

Step 2. Simplify given equation.

Simplifying $(y^{2} 鈥� 鈭� 鈥� 2 y) (y 鈥� + 鈥� 1)$

Expanding the above expression , we get:-

$(y^{2} - 2 y) (y + 1) = y^{2} y + y^{2} 路鈥� 1 - 2 y y - 2 y 路鈥� 1 y^{2} y + y^{2} 路鈥� 1 - 2 y y - 2 y 路鈥� 1 = y^{3} - y^{2} - 2 y$

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