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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 6: Q. 662 (page 802)

In the following exercises, multiply. Use either method.
$(y - 2) (y^{2} - 8 y + 9)$

Short Answer

Expert verified

On multiplication we get $y^{3} - 10 y^{2} + 25 y - 18$

Step by step solution

01

Step 1. Given information

An expression is given as $(y - 2) (y^{2} - 8 y + 9)$

02

Step 2. Multiplication

Multiply the terms as,

$(y - 2) (y^{2} - 8 y + 9) = y (y^{2} - 8 y + 9) - 2 (y^{2} - 8 y + 9) = y^{3} - 8 y^{2} + 9 y - 2 y^{2} + 16 y - 18 = y^{3} - 10 y^{2} + 25 y - 18$

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