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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. 223 (page 604)

In the following exercises, factor completely.
$45 n^{2} + 60 n + 20$

Short Answer

Expert verified

The simplified expression is $5 {(3 n + 2)}^{2}$

Step by step solution

01

Step 1. Given Information

The given expression is $45 n^{2} + 60 n + 20$

02

Step 2. Calculation

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

$45 n^{2} + 60 n + 20 = 5 (9 n^{2} + 12 n + 4) = 5 ({(3 n)}^{2} + 2 脳 3 n 脳 3 + {(2)}^{2}) = 5 {(3 n + 2)}^{2}$

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