   Chapter 4.1, Problem 11PS

Chapter
Section
Textbook Problem

For Problems 9-50, simplify each rational expression. (Objective 2) 18 a 2 45 a b

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(a,b)q(a,b) where p(a,b) and q(a,b) are polynomials in such a way that the variables a, b do not assume values such that q(a,b)=0.

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

p(a,b)k(a,b)q(a,b)k(a,b)=p(a,b)q(a,b).

Calculation:

The given rational expression is 18a245ab.

The factorisation of 18a2 is 18a2=232a2 and of 45ab is 45ab=325ab

Write the given fraction as,

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