Chapter 4.4, Problem 30PS

### Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
ISBN: 9781285195728

Chapter
Section

### Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
ISBN: 9781285195728
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 :2xâˆ’1x+3+x+4xâˆ’6+3xâˆ’1x2âˆ’3xâˆ’18.

Factorise the terms.

2xâˆ’1x+3+x+4xâˆ’6+3xâˆ’1x2âˆ’3xâˆ’18=2xâˆ’1x+3+x+4xâˆ’6+3xâˆ’1x2âˆ’6x+3xâˆ’18=2xâˆ’1x+3+x+4xâˆ’6+3xâˆ’1x(xâˆ’6)+3(xâˆ’6)

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