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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 7.5. (page 810)

Find the GCF: $6 a b^{4}, 8 a^{2} b$

Short Answer

Expert verified

GCF is $2 a b$ .

Step by step solution

01

Step 1. Given information.

The given expressions are:
$6 a b^{4} and 8 a^{2} b$

02

Step 2. Find the GCF.

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

$6 a b^{4} = 2 路 3 路 a 路 b 路 b 路 b 路 b 8 a^{2} b = 2 路 2 路 2 路 a 路 a 路 b$

Bring down the common factors, to get the GCF,

GCF is:

$= 2 路 a 路 b = 2 a b$

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