   Chapter 0.4, Problem 13E

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 4 x 2 + 1 x 2 + 1

To determine

To calculate: The simplified form of the expression (x21)x2+1x4x2+1x2+1 into a single expression.

Explanation

Given Information:

The provided expression is (x21)x2+1x4x2+1x2+1.

Formula used:

Product of sum and difference of two numbers:

(a+b)(ab)=a2b2

Calculation:

Consider the expression (x21)x2+1x4x2+1x2+1.

Multiply by x2+1 in numerator and denominator then simplify it,

(x21)x2+1x4x2+1x2+1=(x21)x2+1x2+1x4x2+1x2+1x2+1=(x

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