   Chapter 4.4, Problem 8PS

Chapter
Section
Textbook Problem

For Problems 1-40, perform the incited operations, and express your answers in simplest form. (Objective 1) 4 a − 4 a 2 − 4 − 3 a + 2

To determine

To Find:

The simplest form of 4a4a243a+2.

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:

Calculation:

The given expression is 4a4a243a+2.

Factorised the denominators,

4a4a243a+2=4(a2)(a2)(a+2)3(a+2)

The LCD of the denominator is (a2)(a+2) where a2ora2

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