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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 10: Q 59 (page 1181)

Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.
$m^{2} + 18 m$

Short Answer

Expert verified

The result is $(m + 9)^{2}$ .

Step by step solution

01

Given Information.

The Given expression is $m^{2} + 18 m$ .

02

Identify b, the coefficient of term having power one.

$m^{2} + 18 m$

The coefficient of $m$ is $18$ .

So, $b = 18$ .

03

Find 12b2.

Substitute $b = 18$

$= {(\frac{1}{2} 脳 18)}^{2} = {(9)}^{2} = 81$

04

Add 81 to binomial expression to complete the square.

$m^{2} + 18 m + 81$

Rewrite as a binomial square.

$(m + 9)^{2}$ .

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