# To simplify 1 x − 1 2 x − 2 by using appropriate operations.

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1, Problem 61RE
To determine

## To simplify 1x−12x−2 by using appropriate operations.

Expert Solution

### Explanation of Solution

Given information:

1x12x2

Formula used:

Properties of fractions:- ACBC=ABC

Properties of fractions :- AB÷CD=AB.DC

Calculations:

Numerator = 1x12

Writing fraction in form of LCD (least common denominator)

=22xx2x=2x2x (i)

Denominator = x2  (ii)

Now,

=2x2x÷(x2)1=2x2x.1(x2)=(x2)2x.1(x2)

=12x ( by cancelling (x2) )

After simplifying we get 12x .

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