   Chapter 0.4, Problem 1E

Chapter
Section
Textbook Problem

Rewrite each expression in Exercises 1–16 as a single rational expression, simplified as much as possible. x − 4 x + 1 ⋅ 2 x + 1 x − 1

To determine

To calculate: The simplified form of the expression x4x+12x+1x1 into a single expression.

Explanation

Given Information:

The provided expression is x4x+12x+1x1.

Formula used:

Product 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=PRQS

Calculation:

Consider the expression x4x+12x+1x1.

Apply the product of rational expression rule then simplify it,

x4x+12x+1x1=(x4)(2x+1)(x+1)(x1)=2x2+

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