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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.352. (page 558)

Find the sum of $8 q^{3} - 27$ and $q^{2} + 6 q - 2$ .

Short Answer

Expert verified

The solution is $8 q^{3} + q^{2} + 6 q - 29$ .

Step by step solution

01

Step 1. Given information

The given polynomials are $8 q^{3} - 27$ and $q^{2} + 6 q - 2$ .

02

Step 2. Simplify the expression.

Combine the like terms.

$8 q^{3} - 27 + q^{2} + 6 q - 2 = 8 q^{3} + q^{2} + 6 q - 27 - 2 8 q^{3} - 27 + q^{2} + 6 q - 2 = 8 q^{3} + q^{2} + 6 q - 29$

03

Step 3. Simplified answer.

Hence, the required polynomial is $8 q^{3} + q^{2} + 6 q - 29$ .

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