Chapter 11: Q. 11 (page 1069)

Simplify the rational expression $\frac{x^{2} + 4 x - 5}{x^{2} - 2 x + 1}$

Short Answer

Expert verified

The simplified form of rational expression $\frac{x^{2} + 4 x - 5}{x^{2} - 2 x + 1} i s \frac{x + 5}{x - 1}, x \neq 1 .$

Step by step solution

Step 1. Given information

Given rational expression is $\frac{x^{2} + 4 x - 5}{x^{2} - 2 x + 1}$ .

we have to simplify this expression .

Step 2. Simplification of rational expression

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

So the simplified form of the rational expression

$\begin{array}{rcl} \frac{x^{2} + 4 x - 5}{x^{2} - 2 x + 1} & = & \frac{(x + 5) (x - 1)}{(x - 1) (x - 1)} \\ = & \frac{(x + 5)}{(x - 1)}, x \neq 1 \sin c e (x - 1) i s t h e c o m m o n f a c t o r . \end{array}$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Simplify the rational expression $\frac{x^{2} + 4 x - 5}{x^{2} - 2 x + 1}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Simplification of rational expression

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Applied Mathematics

Calculus

Geometry

Logic and Functions

Statistics

Study anywhere. Anytime. Across all devices.

Simplify the rational expressionx2+4x-5x2-2x+1

Short Answer

Step by step solution

Step 1. Given information

Step 2. Simplification of rational expression

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Applied Mathematics

Calculus

Geometry

Logic and Functions

Statistics

Study anywhere. Anytime. Across all devices.

Simplify the rational expression $\frac{x^{2} + 4 x - 5}{x^{2} - 2 x + 1}$