Chapter 11: Q. 23 (page 1069)

Simplify the rational expression $\frac{20 - 5 y}{y^{2} - 16}$

Short Answer

Expert verified

The simplified form of $\frac{20 - 5 y}{y^{2} - 16} i s \frac{- 5}{(y + 4)}, y \neq - 4 .$

Step by step solution

. Given information

Given rational expression is $\frac{20 - 5 y}{y^{2} - 16}$ .

We have to simplify the given rational expression.

. Simplification of the rational expression

To simply first we need to factor both numerator and denominator separately and find out the common factor, then simplify,
$\frac{20 - 5 y}{y^{2} - 16} = \frac{5 (4 - y)}{(y + 4) (y - 4)} = \frac{- 5 (y - 4)}{(y + 4) (y - 4)}, a n e x p r e s s i o n a n d i t s o p p o s i t e t o d i v i d e s i s - 1 = \frac{- 5}{(y + 4)}; y \neq - 4, c o m m o n f a c t o r d i v i d e o u t . T h i s i s t h e s i m p l i f i e d f o r m o f t h e g i v e n e x p r e s s i o n .$

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Simplify the rational expression $\frac{20 - 5 y}{y^{2} - 16}$

Short Answer

Step by step solution

. Given information

. Simplification of the rational expression

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Simplify the rational expression20-5yy2-16

Short Answer

Step by step solution

. Given information

. Simplification of the rational expression

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Pure Maths

Calculus

Probability and Statistics

Applied Mathematics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Simplify the rational expression $\frac{20 - 5 y}{y^{2} - 16}$