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Q18.

Expert-verified

Algebra 1

Found in: Page 514

Book edition Student Edition

Author(s) Carter, Cuevas, Day, Holiday, Luchin

Pages 801 pages

ISBN 9780078884801

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Short Answer

Find the greatest common factor of each set of monomials.
$10 a b, 30 a, 40 a^{2} b$

The greatest common factor of the given set of monomials is $10 a$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Find the factorization of 10ab,30a and 40a2b.

Find the factorization of $10 a b$ , $30 a$ and $40 a^{2} b$ .

$10 a b = 2 \cdot 5 \cdot a \cdot b 30 a = 2 \cdot 3 \cdot 5 \cdot a 40 a^{2} b = 2 \cdot 2 \cdot 2 \cdot 5 \cdot a \cdot a \cdot b$

Step 2. Find the greatest common factor of 10ab,30a and 40a2b.

From the factorization of $10 a b, 30 a$ and $40 a^{2} b$ , it can be noticed that the greatest common factor of $10 a b, 30 a$ , and $40 a^{2} b$ is $2 \cdot 5 \cdot a$ or $10 a$ .

Therefore, the greatest common factor of the given set of monomials is $10 a$ .

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