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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 7: Q 47. (page 819)

Factor by grouping.
$u v 鈭� 9 u + 2 v 鈭� 18$

Short Answer

Expert verified

The required answer is $(v - 9) (u + 2)$ .

Step by step solution

01

Step 1. Given information.

The given expression is $u v 鈭� 9 u + 2 v 鈭� 18$ .

02

Step 2. Simplify the expression.

$u v - 9 u + 2 v - 18 = (u v - 9 u) + (2 v - 18) = u (v - 9) + 2 (v - 9)$

Factor out common term.

$(v - 9) (u + 2)$

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