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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 7.98 (page 859)

Factor: $144 p^{2} - 9 q^{2}$

Short Answer

Expert verified

The factorization of the expression is $(12 p + 3 q) (12 p - 3 q)$

Step by step solution

01

Step 1. Given information

Given expression is $144 p^{2} - 9 q^{2}$

02

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

$144 p^{2} - 9 q^{2} = {(12 p)}^{2} - {(3 q)}^{2}$

03

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

${(12 p)}^{2} - {(3 q)}^{2} = (12 p + 3 q) (12 p - 3 q)$

04

Step 4. Check

$(12 p + 3 q) (12 p - 3 q) = 144 p^{2} - 9 q^{2}$

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Most popular questions from this chapter

Solve: $18 a^{2} - 30 = - 33 a$

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