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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 7.93 (page 858)

Factor: $h^{2} - 81$

Short Answer

Expert verified

The factorization of the expression is $(h - 9) (h + 9)$

Step by step solution

01

Step 1. Given information

Given expression is $h^{2} - 81$

02

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

$h^{2} - 81 = {(h)}^{2} - {(9)}^{2}$

03

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

$h^{2} - 9^{2} = (h + 9) (h - 9)$

04

Step 4. Check

$(h + 9) (h - 9) = h^{2} - 9^{2} = h^{2} - 81$

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