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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 1: Q. 41 (page 22)

In the following exercises, simplify the following expressions by combining like terms.
$3 x^{2} + 12 x + 11 + 14 x^{2} + 8 x + 5$

Short Answer

Expert verified

The simplified expression is $17 x^{2} + 20 x + 16$ .

Step by step solution

01

Step 1. Given Information

The given expression is $3 x^{2} + 12 x + 11 + 14 x^{2} + 8 x + 5$ .

02

Step 2. Combine the like terms.

$3 x^{2}, 14 x^{2}$ are like terms, $12 x, 8 x$ are like terms and $11, 5$ are like terms, rearrange the expression by grouping the like terms.
Combine the like terms by performing the indicated operation.

$3 x^{2} + 14 x^{2} + 8 x + 12 x + 11 + 5 = 17 x^{2} + 20 x + 16$

03

Step 3. Conclusion

The simplified expression is $17 x^{2} + 20 x + 16$ .

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