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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 7.99 (page 860)

Factor: $144 - x^{2}$

Short Answer

Expert verified

The factorization of the expression is $(12 + x) (12 - x)$

Step by step solution

01

Step 1. Given information

Given expression is $144 - x^{2}$

02

Step 2. Write the expression as the difference of square.

$144 - x^{2} = {(12)}^{2} - x^{2}$

03

Step 3. Use formula a2-b2=(a+b)(a-b)

${(12)}^{2} - {(x)}^{2} = (12 + x) (12 - x)$

04

Step 4. Check

$(12 + x) (12 - x) = {(12)}^{2} - x^{2} = 144 - x^{2}$

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