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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 10.29 (page 1170)

Complete the square to make a perfect square trinomial. Write the result as a binomial square.
$a^{2} - 20 a$

Short Answer

Expert verified

The result is $(a - 10)^{2}$

Step by step solution

01

Given Information.

The Given expression is $a^{2} - 20 a$ .

02

Identify b, the coefficient of term having power one.

$a^{2} - 20 a$

The coefficient of $a$ is $- 20$ .

So, $b = - 20$

03

Find 12b2.

Substitute $b = - 20$

$= {(\frac{1}{2} (- 20))}^{2} = {(- 10)}^{2} = 100$

04

Add 100to binomial expression to complete the square.

$a^{2} - 20 a + 100$

Rewrite as a binomial square.

$(a - 10)^{2}$

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Most popular questions from this chapter

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