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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 6: Q 165. (page 603)

In the following exercises, factor completely using the perfect square trinomials pattern.
$25 n^{2} - 120 n + 144$

Short Answer

Expert verified

The factor of the trinomial is ${(5 n - 12)}^{2}$ .

Step by step solution

01

Step 1. Given information.

Consider the trinomial.

$25 n^{2} - 120 n + 144$

02

Step 2. Formula used

The general formula for pefect square trinomial is

$a^{2} - 2 a b + b^{2} = {(a - b)}^{2}$

03

Step 3. Find the factor of perfect square trinomial.

The middle term of the trinomial is negative, so the binomial square will be ${(a - b)}^{2}$ .

localid="1645523094699" ${(5 n)}^{2} - 2 路 5 n 路 12 + 12^{2} {(5 n - 12)}^{2}$

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