   Chapter 0.4, Problem 7E

Chapter
Section
Textbook Problem

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

To determine

To calculate: The simplified of the expression 1(xx1)+x1 into a single expression.

Explanation

Given Information:

The provided expression is 1(xx1)+x1.

Formula used:

Reciprocal rule:

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

1PQ=QP

Sum 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

PQ+RS=PS+RQQS

Calculation:

Consider the expression 1(xx1)+x1.

First apply the reciprocal rule,

1(xx1)+x1=x1x+x11.

Now, apply the sum of rational expression rule then simplify it,

1(xx1)+x1=x1x+x11=(x1)1+(x1

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