Chapter 8: Q 8.83 (page 946)

Add: $\frac{2}{x - 2} + \frac{5}{x + 3}$

Short Answer

Expert verified

The addition of rational expression $\frac{7 x - 4}{(x - 2) (x + 3)}$ .

Step by step solution

Given information

The given rational expression is $\frac{2}{x - 2} + \frac{5}{x + 3}$ .

Simplification of the expression

$The LCD is (x - 2) (x + 3) . \frac{2}{x - 2} + \frac{5}{x + 3} Change into equivalent rational expressions with the LCD, \frac{2 \times (x + 3)}{x - 2 \times (x + 3)} + \frac{5 \times (x - 2)}{x + 3 \times (x - 2)} \frac{2 x + 6}{(x - 2) (x + 3)} + \frac{5 x - 10}{(x + 3) (x - 2)} \frac{2 x + 6 + 5 x - 10}{(x - 2) (x + 3)} simplify \frac{7 x - 4}{(x - 2) (x + 3)}$

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Add: $\frac{2}{x - 2} + \frac{5}{x + 3}$

Short Answer

Step by step solution

Given information

Simplification of the expression

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Add:2x-2+5x+3

Short Answer

Step by step solution

Given information

Simplification of the expression

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Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Calculus

Discrete Mathematics

Probability and Statistics

Decision Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

Add: $\frac{2}{x - 2} + \frac{5}{x + 3}$