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Chapter 11: Q. 178 (page 1069)

Simplify a Complex Rational Expression by Using the LCD.

In the following exercises, simplify each complex rational expression by using the LCD.3s+6+5s-61s2-36+4s+6

Short Answer

Expert verified

The simplification is 8s+124s-23.

Step by step solution

01

Step 1. Given.

The given complex rational expression is: 3s+6+5s-61s2-36+4s+6.

02

Step 2. To find 

We have to simplify each complex rational expression by using the LCD.

03

Step 3. Calculation 

LCM of the denominators is =s+6s-6. Multiply numerator and denominator by it to simplify.

3s+6+5s-61s2-36+4s+6=3s+6s+6s-6+5s-6s+6s-61s2-36s+6s-6+4s+6s+6s-6=3(s-6)+5(s+6)1+4(s-6)=3s-18+5s+301+4s-24=8s+124s-23

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