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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 6: Q. 226 (page 604)

In the following exercises, factor completely.
$x^{2} + 12 x + 36 - y^{2}$

Short Answer

Expert verified

The simplified expression is $(x - 6 - y) (x - 6 + y)$

Step by step solution

01

Step 1. Given Information

The given expression is $x^{2} + 12 x + 36 - y^{2}$

02

Step 2. Calculation

We will find the factor of polynomial by using perfect square trinomial pattern,

$x^{2} + 12 x + 36 - y^{2} = {(x)}^{2} - 2 \times x \times 6 + {(6)}^{2} - y^{2} = {(x - 6)}^{2} - y^{2} = ((x - 6) - y) ((x - 6) + y) = (x - 6 - y) (x - 6 + y)$

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Most popular questions from this chapter

In the following exercises, factor the greatest common factor from each polynomial.

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