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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. 275 (page 538)

In the following exercises , simplify the equation ${(3 d 鈥� + 鈥� 1)}^{2}$ .

Short Answer

Expert verified

The simplified expression is $9 d^{2} + 6 d + 1$ .

Step by step solution

01

Step 1. Given Information.

The expression is ${(3 d 鈥� + 鈥� 1)}^{2}$ .

02

Step 2. Simplify given equation.

Simplifying ${(3 d 鈥� + 鈥� 1)}^{2}$

Apply perfect square formula:-

${(a + b)}^{2} = a^{2} + 2 a b + b^{2} {(3 d + 1)}^{2} = {(3 d)}^{2} + 2 路鈥� 3 d 路鈥� 1 + 1^{2} {(3 d)}^{2} + 2 路鈥� 3 d 路鈥� 1 + 1^{2} = 9 d^{2} + 6 d + 1$

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