   Chapter 1, Problem 4BM

Chapter
Section
Textbook Problem

Perform each operation and simplify: a. ( x 2 + 1 ) ( 1 2 x − 1 / 2 ) − x 1 / 2 ( 2 x ) ( x 2 + 1 ) 2 b. − 3 x x + 2 + 3 x + 2

(a)

To determine
The simplified form of the given expression (x2+1)(12x12)x122x(x2+1)2 .

Explanation

Given:

The give expression is (x2+1)(12x12)x122x(x2+1)2 .

Calculation

Simplify the given expression.

(x2+1)(12x12)x122x(x2+1)2=(12x(12+2)+12x12)2x(12+1)(x2+1)2=(12x(32)+12x12)2x32(x2+1)2 (1)

The least common denominator of 2   and 2x12 is 2x12

(b)

To determine
The simplified form of the given expression 3xx+2+3x+2 .

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