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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 6: Q. 337 (page 634)

In the following exercises, find the greatest common factor.
$12 a^{2} b^{3}, 15 a b^{2}$

Short Answer

Expert verified

The greatest common factor is $3 a b^{2}$ .

Step by step solution

01

Step 1. Given information.

Consider the given expressions,

$12 a^{2} b^{3}, 15 a b^{2}$

Write the expressions in factor form,

role="math" localid="1644745398968" $12 a^{2} b^{3} = 2 脳 2 脳 3 脳 a 脳 a 脳 b 脳 b 脳 b 15 a b^{2} = 3 脳 5 脳 a 脳 b 脳 b$

02

Step 2. Take out the common factors.

Multiply the common factors,

$= 3 脳 a 脳 b 脳 b = 3 a b^{2}$

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