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Chapter 7: Q. 52 (page 652)

In the following exercises, divide the rational expressions.

3b2+2b-812b+183b2+2b-82b2-7b-15

Short Answer

Expert verified

The simplified expression isb-56.

Step by step solution

01

Step 1. Given Information

=3b2+2b-812b+18梅3b2+2b-82b2-7b-15

02

Step 2. Rewrite as product of first times reciprocalof second.

3b2+2b-812b+18脳2b2-7b-153b2+2b-8

03

Step 3. Factor the numerators and thedenominators, and then multiply.

3b2+2b-812b+18脳2b2-7b-153b2+2b-8=2b2-7b-1512b+18=b-52b+362b+3

04

Step 4. Simplify by dividing out common factors.

b-56.

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