Chapter 8: Q 8.76 (page 943)

Find the LCD for $\frac{x}{x^{2} + 8 x + 15}, \frac{5}{x^{2} + 9 x + 18}$ .

Short Answer

Expert verified

The LCD of the required expressions is $(x + 3) (x + 5) (x + 6)$ .

Step by step solution

Given information

The given expressions is $\frac{x}{x^{2} + 8 x + 15}, \frac{5}{x^{2} + 9 x + 18}$

The LCD of the expressions

Factorize the Denominator of the expression

$x^{2} + 8 x + 15 = x^{2} + 3 x + 5 x + 15 = x (x + 3) + 5 (x + 3) = (x + 5) (x + 3) x^{2} + 9 x + 18 = x^{2} + 6 x + 3 x + 18 = x (x + 6) + 3 (x + 6) = (x + 3) (x + 6)$

Multiply the factors = $(x + 3) (x + 6) (x + 5)$

Therefore, the LCD is $(x + 3) (x + 6) (x + 5) .$

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Find the LCD for $\frac{x}{x^{2} + 8 x + 15}, \frac{5}{x^{2} + 9 x + 18}$ .

Short Answer

Step by step solution

Given information

The LCD of the expressions

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Find the LCD forxx2+8x+15,5x2+9x+18.

Short Answer

Step by step solution

Given information

The LCD of the expressions

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Discrete Mathematics

Probability and Statistics

Pure Maths

Statistics

Decision Maths

Study anywhere. Anytime. Across all devices.

Find the LCD for $\frac{x}{x^{2} + 8 x + 15}, \frac{5}{x^{2} + 9 x + 18}$ .