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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 7: Q 7.95 (page 858)

Factor: $m^{2} - 1$

Short Answer

Expert verified

The factorization of the expression is $(m + 1) (m - 1)$

Step by step solution

01

Step 1. Given information

Given expression is $m^{1} - 1$

02

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

$m^{2} - 1 = m^{2} - 1^{2}$

03

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

$m^{2} - 1 = (m + 1) (m - 1)$

04

Step 4. Check

$(m + 1) (m - 1) = m^{2} - 1$

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Most popular questions from this chapter

Solve:

${(x + 1)}^{2} = 0$

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