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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 7: Q. 7.122 (page 872)

Factor completely:
$27 y^{2} + 48$

Short Answer

Expert verified

The factored form is $3 (9 y^{2} + 16)$ .

Step by step solution

01

Step 1. Given Information

We are given a polynomial $27 y^{2} + 48$ ,

We have to factor the given polynomial.

02

Step 2. Factoring the polynomial

Factoring out GCF $3$ , we get

$27 y^{2} + 48 = 3 (9 y^{2} + 16)$

03

Step 3. Checking the factors

Multiply the factors, we get

$3 (9 y^{2} + 16) = 27 y^{2} + 48 3 脳 9 y^{2} + 3 脳 16 = 27 y^{2} + 48 27 y^{2} + 48 = 27 y^{2} + 48 L H S = R H S$

Hence, the factors are correct.

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