Chapter 7: Q. 12 (page 651)

Simplify the rational expression $\frac{y^{2} + 3 y - 4}{y^{2} - 6 y + 5}$

Short Answer

Expert verified

Simplified form of s rational expression $\frac{y^{2} + 3 y - 4}{y^{2} - 6 y + 5} i s \frac{(y + 4)}{(y - 5)}, y \neq 5 .$

Step by step solution

Step 1. Given expression

Given rational expression is $\frac{y^{2} + 3 y - 4}{y^{2} - 6 y + 5}$ .

We have to simplify the given rational expression.

Step 2. Simplification of the rational expression

To simplify the given rational expression ,first factor numerator and denominators separately and then divide out the common factor.

Then the simplified form of expression is $\frac{y^{2} + 3 y - 4}{y^{2} - 6 y + 5} = \frac{(y + 4) (y - 1)}{(y - 5) (y - 1)} = \frac{(y - 4)}{(y - 5)}; y \neq 5 \sin c e (y - 1) i s t h e c o m m o n f a c t o r .$

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Simplify the rational expression $\frac{y^{2} + 3 y - 4}{y^{2} - 6 y + 5}$

Short Answer

Step by step solution

Step 1. Given expression

Step 2. Simplification of the rational expression

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Simplify the rational expressiony2+3y-4y2-6y+5

Short Answer

Step by step solution

Step 1. Given expression

Step 2. Simplification of the rational expression

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Most popular questions from this chapter

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Simplify the rational expression $\frac{y^{2} + 3 y - 4}{y^{2} - 6 y + 5}$