Chapter 8: Q 8.71 (page 938)

Add $\frac{8 x - 15}{2 x - 5} + \frac{2 x}{2 x - 5}$ .

Short Answer

Expert verified

The required expression is $3$ .

Step by step solution

Given information

The given expression is $\frac{8 x - 15}{2 x - 5} + \frac{2 x}{5 - 2 x}$

Simplifying the expression

The denominators of both the terms are opposite, so Multiply the second expression by $\frac{- 1}{- 1}$ :

$\frac{8 x - 15}{2 x - 5} + \frac{(- 1) 2 x}{(- 1) (5 - 2 x)}$

Simplify the second expression:

$\frac{8 x - 15}{2 x - 5} + \frac{- 2 x}{2 x - 5}$

Make the denominator same:

$\frac{8 x - 15 - 2 x}{2 x - 5}$

Combine like terms:

$\frac{6 x - 15}{2 x - 5}$

Factor the numerator:

$\frac{3 (2 x - 5)}{2 x - 5}$

Cancel the like terms:

3

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Add $\frac{8 x - 15}{2 x - 5} + \frac{2 x}{2 x - 5}$ .

Short Answer

Step by step solution

Given information

Simplifying the expression

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Add8x-152x-5+2x2x-5.

Short Answer

Step by step solution

Given information

Simplifying the expression

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Most popular questions from this chapter

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Applied Mathematics

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Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Add $\frac{8 x - 15}{2 x - 5} + \frac{2 x}{2 x - 5}$ .