Chapter 4.4, Problem 36PS

### 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 n 2 n 4 − 16 − n n 2 − 4 + 1 n + 2

To determine

To Find:

The simplest expression of 2n2n416nn24+1n+2.

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:2n2n4âˆ’16âˆ’nn2âˆ’4+1n+2.

Factorise the terms.

2n2n4âˆ’16âˆ’nn2âˆ’4+1n+2=2n2(n2+4)(n+2)(nâˆ’2)âˆ’n(n+2)(nâˆ’2)+1n+2

The LCD of the denominator is (n2+4)(n+2)(nâˆ’2) where nâ‰ 2â€‰orâ€‰nâ‰ âˆ’2

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