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Chapter 7: Q. 7.63 (page 679)

Simplify the complex rational expression by using the LCD:

xx+31+1x+3

Short Answer

Expert verified

The simplified expression isxx+4.

Step by step solution

01

Step 1. Given Information.

We have:

xx+31+1x+3

02

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

The least common divisor (LCD) is x+3.

Multiply the numerator and denominator by x+3:

=x+3xx+3x+31+1x+3

03

Step 3. Simplify the expression.

Distribute in the denominator and simplify:

=x+3xx+31x+3+x+31x+3=xx+3+1=xx+4

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