Chapter 4.4, Problem 38PS

### 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) 32 x + 9 12 x 2 + x − 6 − 3 4 x + 3 − x + 5 3 x − 2

To determine

To Find:

The simplest expression of 32x+912x2+x634x+3x+53x2.

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: 32x+912x2+xâˆ’6âˆ’34x+3âˆ’x+53xâˆ’2.

Factorise the terms.

32x+912x2+xâˆ’6âˆ’34x+3âˆ’x+53xâˆ’2=32x+912x2+8xâˆ’7xâˆ’6âˆ’34x+3âˆ’x+53xâˆ’2=32x+94x(3xâˆ’2)+3(3xâˆ’2)âˆ’34x+3âˆ’x+53xâˆ’

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