   Chapter 4.4, Problem 6PS

Chapter
Section
Textbook Problem

For Problems 1-40, perform the indicated operations, and express your answers in simplest form. (Objective 1) 2 x x 2 − 16 + 7 x − 4

To determine

To Find:

The simplest form of 2xx216+7x4.

Explanation

Given:

2xx216+7x4.

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:

Consider the expression, 2xx216+7x4.

Factorise the terms,

2xx216+7x4=2x(x4)(x+4)+7x4

The LCD of the denominator is (x4)(x+4) where x4orx4

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