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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 5: Q.244. (page 537)

Find the product of the below expression.
${(2 r + 12)}^{2}$

Short Answer

Expert verified

The solution is $4 r^{2} + 48 r + 144$ .

Step by step solution

01

Step 1. Given information.

The given expression is ${(2 r + 12)}^{2}$ .

02

Step 2. Simplify the given expression by using the binomial squares pattern a+b2=a2+2ab+b2.

Solve it as follows:

${(2 r + 12)}^{2} = {(2 r)}^{2} + 2 脳 2 r 脳 12 + {(12)}^{2} 鈬� 4 r^{2} + 48 r + 144$

03

Step 3. Simplified expression.

Hence, the required expression is $4 r^{2} + 48 r + 144$ .

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