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Chapter 11: Q. 190 (page 1069)

In the following exercises, simplify each complex rational expression using either method.

3b2-3b-405b+5-2b-8

Short Answer

Expert verified

The simplified form is 33b-50

Step by step solution

01

Step 1. Given. 

The given complex rational expression is: 3b2-3b-405b+5-2b-8.

02

Step 2. To find 

We have to simplify each complex rational expression by using either method.

03

Step 3. Calculation  

LCM of the denominators is = b+5b-8. Multiply numerator and denominator by it to simplify.

3b2-3b-405b+5-2b-8=3b2-3b-40b+5b-85b+5b+5b-8-2b-8b+5b-8=35(b-8)-2(b+5)=35b-40-2b-10=33b-50

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