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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 3. (page 819)

In the following exercises, find the greatest common factor.
$72, 162$

Short Answer

Expert verified

GCF is 18.

Step by step solution

01

Step 1. Given information.

The given expressions are:

$72, 162$

02

Step 2. Find the GCF.

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

$72 = 2 路 2 路 2 路 3 路 3 162 = 2 路 3 路 3 路 3 路 3$

Bring down the common factors,

GCF is:

$= 2 路 3 路 3 = 18$

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Most popular questions from this chapter

The difference of squares $y^{4} - 625$ can be factored as $(y^{2} - 25) (y^{2} + 25) .$ But it is not completely factored. What more must be done to completely factor it?

Factor: $- 9 y - 27$ .

In the following exercises, factor completely.

$25 x^{2} + 35 x y + 49 y^{2}$

Find the Greatest Common Factor of Two or More Expressions.

$60, 294, 630$

In the following exercises, find the greatest common factor.

$42, 60$

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