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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 37. (page 819)

Factor the Greatest Common Factor from a Polynomial.
$12 x y^{2} + 18 x^{2} y^{2} 鈭� 30 y^{3}$

Short Answer

Expert verified

The required answer is $6 y^{2} (2 x + 3 x^{2} - 5 y)$ .

Step by step solution

01

Step 1. Given information.

The given binomial is $12 x y^{2} + 18 x^{2} y^{2} - 30 y^{3}$ .

02

Step 2. Simplify the expression.

Apply exponent rule.

$12 x y^{2} + 18 x^{2} y^{2} - 30 y^{3} = 12 x y^{2} + 18 x^{2} y^{2} - 30 y^{2} y = 2 路鈥� 6 x y^{2} + 3 路鈥� 6 x^{2} y^{2} + 5 路鈥� 6 y^{2} y$

Factor out common term.

$6 y^{2} (2 x + 3 x^{2} - 5 y)$

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