   Chapter 4.4, Problem 54PS

Chapter
Section
Textbook Problem

For Problems 41-64, simplify each complex fraction. (Objective 2) 4 + 6 n − 1 7 − 4 n − 1

To determine

To Find:

The simplest form of the given complex fraction:

4+6n174n1

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 4+6n174n1.

LCD of the given expression is (n1).

So,

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