Chapter 8: Q 173 (page 953)

Find the LCD of $\frac{4}{b^{2} + 6 b + 9}, \frac{2 b}{b^{2} - 2 b - 15}$ .

Short Answer

Expert verified

The LCD is $(b + 3)^{2} (b - 5)$ .

Step by step solution

Given Information

The given expression is $\frac{4}{b^{2} + 6 b + 9}, \frac{2 b}{b^{2} - 2 b - 15}$ .

Factor the denominator of both expressions.

The factored form of first denominator.

$b^{2} + 6 b + 9 = (b + 3) (b + 3)$

The factored form of second denominator.

$b^{2} - 2 b - 15 = (b - 5) (b + 3)$

Determine the common factors and from the remaining factors, multiply each of the denominator with appropriate factors.

The common factor is $(b + 3)$ .

Multiply common factor with other factors.

$= (b + 3) (b + 3) (b - 5)$

$= (b + 3)^{2} (b - 5)$

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Find the LCD of $\frac{4}{b^{2} + 6 b + 9}, \frac{2 b}{b^{2} - 2 b - 15}$ .

Short Answer

Step by step solution

Given Information

Factor the denominator of both expressions.

Determine the common factors and from the remaining factors, multiply each of the denominator with appropriate factors.

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Find the LCD of4b2+6b+9,2bb2-2b-15.

Short Answer

Step by step solution

Given Information

Factor the denominator of both expressions.

Determine the common factors and from the remaining factors, multiply each of the denominator with appropriate factors.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Applied Mathematics

Mechanics Maths

Discrete Mathematics

Geometry

Statistics

Study anywhere. Anytime. Across all devices.

Find the LCD of $\frac{4}{b^{2} + 6 b + 9}, \frac{2 b}{b^{2} - 2 b - 15}$ .