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Chapter 7: Q. 54 (page 652)

In the following exercises, divide the rational expressions.

4d2+7d-235d+10d2-47d2-12d-4

Short Answer

Expert verified

The simplified expression is4d-15.

Step by step solution

01

Step 1. Given Information

4d2+7d-235d+10d2-47d2-12d-4=4d2+7d-235d+10梅d2-47d2-12d-4

02

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

4d2+7d-235d+10梅d2-47d2-12d-4=4d2+7d-235d+10脳7d2-12d-4d2-4

03

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

=4d-1d+257d+2脳d-27d+2d-2d+2=4d-1d+2d-27d+257d+2d-2d+2

04

Step 4. Simplify by dividing out common factors. 

=4d-15

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