   Chapter 4.CR, Problem 1CR

Chapter
Section
Textbook Problem

For Problems 1-6, simplify each rational expression. 26 x 2 y 3 39 x 4 y 2

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, 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)k(x,y)q(x,y)k(x,y)=p(x,y)q(x,y).

Calculation:

The given rational expression is 26x2y339x4y2.

The factorisation of 26x2y3 is 26x2y3=213x2y2y and of 39x4y2 is 39x4y2=313x2x2y2

Write the given fraction as,

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