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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 7.93 (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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Most popular questions from this chapter

In the following exercises, factor completely.

$15 p q - 15 p + 12 q - 12$

Pumpkin drop A fall tradition at the University of California San Diego is the Pumpkin Drop, where a pumpkin is dropped from the eleventh story of Tioga Hall.

(a) The binomial $- 16 t^{2} + 128$ gives the height of the pumpkin t seconds after it is dropped. Factor the greatest common factor from this binomial.

(b) If the pumpkin is thrown down with initial velocity 32 feet per second, its height after t seconds is given by the trinomial $- 16 t^{2} - 32 t + 128 .$ Completely factor this trinomial.

Solve:

$w (2 w + 3) = 0$

Factor Differences of Squares

In the following exercises, factor.

$169 m^{2} - n^{2}$

Factor Differences of Squares

In the following exercises, factor.

$49 a^{2} - 144$

See all solutions

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