Chapter 7: Q. 14 (page 651)

Simplify the rational expression $\frac{y^{2} - 2 y - 3}{y^{2} - 9} .$

Short Answer

Expert verified

Simplified form of the rational expression $\frac{y^{2} - 2 y - 3}{y^{2} - 9} i s \frac{(y + 1)}{(y + 3)}; y \neq - 3 .$

Step by step solution

. Given information

Given rational expression is $\frac{y^{2} - 2 y - 3}{y^{2} - 9}$ $\frac{y^{2} - 2 y - 3}{y^{2} - 9}$ .

We have to simplify the given rational expression.

Step 2. Simplification of the rational expression

To simplify we have find out the factors of both numerator and denominator separately and then divide out the common factor.

So the given rational expression becomes $\frac{y^{2} - 2 y - 3}{y^{2} - 9} = \frac{(y - 3) (y + 1)}{(y - 3) (y + 3)} = \frac{(y + 1)}{(y + 3)}; y \neq - 3 h e r e (y - 3) i s t h e c o m m o n f a c t o r .$

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Simplify the rational expression $\frac{y^{2} - 2 y - 3}{y^{2} - 9} .$

Short Answer

Step by step solution

. Given information

Step 2. Simplification of the rational expression

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Simplify the rational expressiony2-2y-3y2-9.

Short Answer

Step by step solution

. Given information

Step 2. Simplification of the rational expression

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Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

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Study anywhere. Anytime. Across all devices.

Simplify the rational expression $\frac{y^{2} - 2 y - 3}{y^{2} - 9} .$