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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 7.6. (page 810)

Find the GCF: $9 m^{5} n^{2}, 12 m^{3} n$ .

Short Answer

Expert verified

GCF is $3 m^{3} n$ .

Step by step solution

01

Step 1. Given information.

The given expressions are:

$9 m^{5} n^{2}, 12 m^{3} n$

02

Step 2. Find the GCF.

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

$9 m^{5} n^{2} = 3 路 3 路 m 路 m 路 m 路 m 路 m 路 n 路 n 12 m^{3} n = 2 路 2 路 3 路 m 路 m 路 m 路 n$

Bring down the common factors, to get the GCF,

GCF is:

$= 3 路 m 路 m 路 m 路 n = 3 m^{3} n$

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