   Chapter 4.3, Problem 59PS

Chapter
Section
Textbook Problem

For Problems 13-66, add or subtract the rational expressions as indicated. Be sure to express your answers in simplest form. (Objective 2) 5 3 x − 2 + 6 4 x + 5

To determine

To solve:

The given operation involving rational expressions.

Explanation

Approach:

Rational expression demarcate as a quotient obtained by a division of two polynomials in the form of p(x)q(x) where p(x) and q(x) are polynomials in such a way that the variable x does not assume values such that q(x)=0.

For values of x where q(x) and k(x) are both nonzero expressions, then by the fractions fundamental principle, for all polynomials p(x), the following holds.

p(x)k(x)q(x)k(x)=p(x)q(x).

Calculation:

The given expression is 53x2+64x+5.

The LCD of the denominator is (3x2)(4x+5).

Therefore, the value of given expression is

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