   Chapter 0.4, Problem 6E

Chapter
Section
Textbook Problem

Rewrite each expression in Exercises 1–16 as a single rational expression, simplified as much as possible. x 2 − 1 x − 2 − 1 x − 1

To determine

To calculate: The simplified of the expression x21x21x1 into a single expression.

Explanation

Given Information:

The provided expression is x21x21x1.

Formula used:

Difference of rational expression:

A rational expression is an algebraic of the form PQ, where P and Q are simpler expression (polynomials) and the denominator Q0

PQRS=PSRQQS

Calculation:

Consider the expression x21x21x1.

Apply the difference of rational expression rule then simplify it,

x21x21x1=(x21)(x1)1(x2)(x2)(x1)

Multiply the expressions in numerator and denominator,

x21x21x1=(x21)(x1)1(x2)(x

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