Chapter 4.4, Problem 61PS

### Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
ISBN: 9781285195728

Chapter
Section

### Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
ISBN: 9781285195728
Textbook Problem

# For Problems 41-64, simplify each complex fraction. (Objective 2) 3 a 2 − 1 a − 1

To determine

To Find:

The simplest form of the given complex fraction:

3a21a1

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,

Same algebra is used for rational expression.

Calculation:

Here, the given expression is 3a2âˆ’1aâˆ’1.

LCD of the first term in the expression is a.with aâ‰ 0.

So,

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