Chapter 4.1, Problem 17PS

### 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 9-50, simplify each rational expression. (Objective 2) − 40 x 3 y − 24 x y 4

To determine

To Find:

The expression by simplifying the given rational expression.

Explanation

A rational expression is defined as the quotient obtained by a division of two polynomials in the 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.

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

p(x,y)â‹…k(x,y)q(x,y)â‹…k(x,y)=p(x,y)q(x,y).

Calculation:

The given rational expression is âˆ’40x3yâˆ’24xy4.

The factorisation of âˆ’40x3y is âˆ’40x3y=(âˆ’1)â‹…23â‹…5â‹…x3â‹…y and of âˆ’24xy4 is âˆ’24xy4=(âˆ’1)â‹…23â‹…3â‹…xâ‹…y4

Write the given fraction as,

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