Chapter 4.CT, Problem 1CT

### 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 1-4, simplify each rational expression. 39 x 2 y 3 72 x 3 y

To determine

To Find:

The expression by simplifying the given rational expression.

Explanation

Approach:

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 and y do not assume values such that q(x,y)=0.

For values of x and 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 39x2y372x3y.

The factorisation of 39x2y3 is 39x2y3=13â‹…3â‹…x2â‹…y3 and of 72x3y is 72x3y=24â‹…3â‹…x3â‹…y

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