   Chapter 0.4, Problem 4E

Chapter
Section
Textbook Problem

Rewrite each expression in Exercises 1–16 as a single rational expression, simplified as much as possible. 2 x − 3 x − 2 + x + 3 x + 1

To determine

To calculate: The simplified of the expression 2x3x2+x+3x+1 into a single expression.

Explanation

Given Information:

The provided expression is 2x3x2+x+3x+1.

Formula used:

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 2x3x2+x+3x+1.

Apply the sum of rational expression rule then simplify it,

2x3x2+x+3x+1=(2x3)(x+1)+(x+3)(x2)(x2)(x+1)

Multiply the expressions in numerator and denominator,

2x3x2+x+3x+1=(2x3)(x+1)+(x+3)(x2)(x<

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