   Chapter 4.7, Problem 28PS

Chapter
Section
Textbook Problem

For problem 1-30, solve each equation. (Objective 1) x 2 x 2 + 5 x − x 2 x 2 + 7 x + 5 = 2 x 2 + x

To determine

To Solve:

The given rational expression.

Explanation

Concept:

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,

Same algebra is used for rational expression.

Calculation:

The given rational expression is x2x2+5xx2x2+7x+5=2x2+x.

The LCD of the denominators is x(x+1)(2x+5) where x0,1and52

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