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Chapter 7: Q. 180 (page 680)

Simplify a Complex Rational Expression by Using the LCD.

In the following exercises, simplify each complex rational expression by using the LCD.

5b2-6b-273b-9+1b+3.

Short Answer

Expert verified

The simplification is54b.

Step by step solution

01

Step 1. Given.  

The given complex rational expression is:5b2-6b-273b-9+1b+3.

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 =(b-9)(b+3). Multiply numerator and denominator by it to simplify.

5b2-6b-273b-9+1b+3=5b2-6b-27(b-9)(b+3)3b-9(b-9)(b+3)+1b+3(b-9)(b+3)=53(b+3)+(b-9)=53b+9+b-9=54b

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