Q.490. Perform the indicated operation ... [FREE SOLUTION]

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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 7: Q.490. (page 742)

Perform the indicated operation and simplify.
$\frac{10 x^{2} + 16 x - 7}{8 x - 3} + \frac{2 x^{2} + 3 x - 1}{3 - 8 x}$

Short Answer

Expert verified

The solution is $x + 2$ .

Step by step solution

Step 1. Given information.

The given expression is $\frac{10 x^{2} + 16 x - 7}{8 x - 3} + \frac{2 x^{2} + 3 x - 1}{3 - 8 x}$ .

Step 2. Simplify the expression.

$\frac{10 x^{2} + 16 x - 7}{8 x - 3} + \frac{2 x^{2} + 3 x - 1}{3 - 8 x} = \frac{10 x^{2} + 16 x - 7}{8 x - 3} - \frac{2 x^{2} + 3 x - 1}{8 x - 3} \frac{10 x^{2} + 16 x - 7}{8 x - 3} + \frac{2 x^{2} + 3 x - 1}{3 - 8 x} = \frac{10 x^{2} - 2 x^{2} + 16 x - 3 x - 7 + 1}{8 x - 3} \frac{10 x^{2} + 16 x - 7}{8 x - 3} + \frac{2 x^{2} + 3 x - 1}{3 - 8 x} = \frac{8 x^{2} + 13 x - 6}{8 x - 3} \frac{10 x^{2} + 16 x - 7}{8 x - 3} + \frac{2 x^{2} + 3 x - 1}{3 - 8 x} = \frac{8 x^{2} + 16 x - 3 x - 6}{8 x - 3} \frac{10 x^{2} + 16 x - 7}{8 x - 3} + \frac{2 x^{2} + 3 x - 1}{3 - 8 x} = \frac{8 x (x + 2) - 3 (x + 2)}{(8 x - 3)} \frac{10 x^{2} + 16 x - 7}{8 x - 3} + \frac{2 x^{2} + 3 x - 1}{3 - 8 x} = \frac{(x + 2) (8 x - 3)}{(8 x - 3)} (R e m o v e t h e c o m m o n f a c t o r) \frac{10 x^{2} + 16 x - 7}{8 x - 3} + \frac{2 x^{2} + 3 x - 1}{3 - 8 x} = x + 2$

Step 3. Simplified information.

The simplified expression is $x + 2$ .

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91影视

Perform the indicated operation and simplify.
$\frac{10 x^{2} + 16 x - 7}{8 x - 3} + \frac{2 x^{2} + 3 x - 1}{3 - 8 x}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Simplify the expression.

Step 3. Simplified information.

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91影视

Perform the indicated operation and simplify.10x2+16x-78x-3+2x2+3x-13-8x

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Simplify the expression.

Step 3. Simplified information.

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Most popular questions from this chapter

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Study anywhere. Anytime. Across all devices.

Perform the indicated operation and simplify.
$\frac{10 x^{2} + 16 x - 7}{8 x - 3} + \frac{2 x^{2} + 3 x - 1}{3 - 8 x}$