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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 6: Q 318. (page 742)

In the following exercises, square each binomial using the Binomial Squares Pattern.
${(3 x^{2} + 2)}^{2}$

Short Answer

Expert verified

The required answer is $9 x^{4} + 12 x^{2} + 4$ .

Step by step solution

01

Step 1. Given information.

The given expression is:

${(3 x^{2} + 2)}^{2}$

02

Step 2. Square using the binomial square pattern.

${(3 x^{2} + 2)}^{2} = {(3 x^{2})}^{2} + 2 路 3 x^{2} 路 2 + {(2)}^{2} = 9 x^{4} + 12 x^{2} + 4$

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