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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 8: Q 138 (page 940)

Add $\frac{q^{2} + 12 q}{q + 3} + \frac{27}{q + 3}$

Short Answer

Expert verified

The required expression is $q + 9$

Step by step solution

01

Given information

The given expression is $\frac{q^{2} + 12 q}{q + 3} + \frac{27}{q + 3}$

02

Simplifying the expression

The two rational expressions have same denominators, so combining the two expressions:

$\frac{q^{2} + 12 q + 27}{q + 3}$

Factorizing the numerator:

$\frac{(q + 3) (q + 9)}{q + 3}$

Cancel the same factor:

$q + 9$

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Most popular questions from this chapter

In the following exercises, solve.

$1 - \frac{7}{q} = \frac{- 6}{q^{2}}$

Simplify

In the following exercises, use either method.

$\frac{\frac{2}{a + 4}}{\frac{1}{a^{2} - 16}}$

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$\frac{n + 10}{4} = \frac{40 - n}{6}$

In the following exercises, simplify.

$\frac{b^{2} + 9 b + 18}{b^{2} - 36}$

Electronics The resistance of a circuit formed by connecting two resistors in parallel is $\frac{1}{\frac{1}{R_{1}} + \frac{1}{R_{2}}}$ .

Simplify the complex fraction role="math" localid="1647789125778" $\frac{1}{\frac{1}{R_{1}} + \frac{1}{R_{2}}}$ .
Find the resistance of the circuit when $R_{1} = 8$ and $R_{2} = 12$ .

See all solutions

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