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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 12. (page 819)

In the following exercises, find the greatest common factor.
$8 a^{2} b^{3}, 10 a b^{2}$

Short Answer

Expert verified

GCF is $2 a b^{2}$ .

Step by step solution

01

Step 1. Given information.

The given expressions are:

$8 a^{2} b^{3}, 10 a b^{2}$

02

Step 2. Find the GCF.

Factor each coefficient into primes and write the variables with exponents in expanded form.

$8 a^{2} b^{3} = 2 路 2 路 2 路 a 路 a 路 b 路 b 路 b 10 a b^{2} = 2 路 5 路 a 路 b 路 b$

Bring down the common factors,

GCF is:

$= 2 路 a 路 b 路 b = 2 a b^{2}$

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