Chapter 8: Q 193 (page 953)

Add $\frac{3}{r + 4} + \frac{2}{r - 5}$ .

Short Answer

Expert verified

The sum is $\frac{5 r - 7}{(r + 4) (r - 5)}$ .

Step by step solution

Given Information

The Given expression is $\frac{3}{r + 4} + \frac{2}{r - 5}$ .

Find the LCD of denominators.

Since there is no common factors,

The LCD is $(r + 4) (r - 5)$ .

Rewrite each fraction as an equivalent fraction with the LCD.

$= \frac{3 (r - 5)}{(r + 4) (r - 5)} + \frac{2 (r + 4)}{(r + 4) (r - 5)}$

Simplify numerator.

$= \frac{3 r - 15}{(r + 4) (r - 5)} + \frac{2 r + 8}{(r + 4) (r - 5)}$

Add

Take common denominator and simplify numerator.

$= \frac{3 r - 15 + 2 r + 8}{(r + 4) (r - 5)}$

$= \frac{5 r - 7}{(r + 4) (r - 5)}$

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Add $\frac{3}{r + 4} + \frac{2}{r - 5}$ .

Short Answer

Step by step solution

Given Information

Find the LCD of denominators.

Rewrite each fraction as an equivalent fraction with the LCD.

Add

One App. One Place for Learning.

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Add3r+4+2r-5.

Short Answer

Step by step solution

Given Information

Find the LCD of denominators.

Rewrite each fraction as an equivalent fraction with the LCD.

Add

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Decision Maths

Calculus

Mechanics Maths

Pure Maths

Statistics

Study anywhere. Anytime. Across all devices.

Add $\frac{3}{r + 4} + \frac{2}{r - 5}$ .