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Chapter 7: Q. 7.64 (page 678)

Simplify the complex rational expression by using the LCD:

1+1x-13x+1

Short Answer

Expert verified

The simplified expression isxx+13x-1.

Step by step solution

01

Step 1. Given Information.

We have:

1+1x-13x+1

02

Step 2. Multiply the numerator and denominator by the LCD.  

The least common divisor (LCD) is x-1x+1.

Multiply the numerator and denominator by x-1x+1:

=x-1x+11+1x-1x-1x+13x+1

03

Step 3. Simplify the expression  

Distribute in the denominator and simplify:

=1x-1x+1+x-1x+11x-1x-1x+1脳3x+1=1x-1x+1+x+13x-1=x+1x-1+13x-1=xx+13x-1

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