Chapter 4.4, Problem 60PS

### 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) 2 x − y + 3 x + y 5 x + y − 1 x 2 − y 2

To determine

To Find:

The simplest form of the given complex fraction:

2xy+3x+y5x+y1x2y2

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 2xâˆ’y+3x+y5x+yâˆ’1x2âˆ’y2.

LCD of the given expression is (x+y)(xâˆ’y).

So,

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#### In Problems 15-28, find the general solution to the given differential equation.

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