   Chapter 4.4, Problem 58PS

Chapter
Section
Textbook Problem

For Problems 41-64, simplify each complex fraction. (Objective 2) − 2 x − 4 x + 2 3 x 2 + 2 x + 3 x

To determine

To Find:

The simplest form of the given complex fraction:

2x4x+23x2+2x+3x

Explanation

Approach

Rational expression, a quotient obtained by division of two polynomials in form of p(x,y)q(x,y) where p(x,y) and q(x,y) are polynomials in such a way that the variables x, y do not assume values such that q(x,y)=0.

If ab and cd are rational, then addition or subtraction of rational formed by making the denominator equal using LCD and perform the operation on the numerators as follows:

And,

Calculation:

Here, the given expression is 2x4x+23x2+2x+3x.

LCD of the given expression is x(x+2).

So,

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