   Chapter 4.4, Problem 30PS

Chapter
Section
Textbook Problem

For Problems 1-40, perform the indicated operations, and express your answers in simplest form. (Objective 1) 2 x − 1 x + 3 + x + 4 x − 6 + 3 x − 1 x 2 − 3 x − 18

To determine

To Find:

The simplest expression of 2x1x+3+x+4x6+3x1x23x18.

Explanation

Approach:

If ab and cd are rational, then addition or subtraction of rational formed by multiplying them by appropriate expressions and equating the denominators using LCD and perform the operation as below:

And,

Same algebra is used for rational expression.

Calculation:

The given expression :2x1x+3+x+4x6+3x1x23x18.

Factorise the terms.

2x1x+3+x+4x6+3x1x23x18=2x1x+3+x+4x6+3x1x26x+3x18=2x1x+3+x+4x6+3x1x(x6)+3(x6)

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