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Chapter 7: Q. 413 (page 736)

In the following exercises, perform the indicated operations

2c-2+9c+3

Short Answer

Expert verified

The result is11c-12(c-2)(c+3)

Step by step solution

01

Step 1. Given Information

Expression

2c-2+9c+3
02

Step 2. Find LCD 

Denominator of first fraction is(c-2)

Denominator of the second fraction isc+3

here nothing is common between both denominator

So the LCD isc-2c+3

03

Step 3. Rewrite each rational expression as  an equivalent rational expression with the LCD  

2(c+3)(c-2)(c+3)+9(c-2)(c-2)(c+3)

04

Step 4.Simplify the numerators.  

2c+6(c-2)(c+3)+9c-18(c-2)(c+3)

05

Step 5. Add numerators of the fractions  

2c+6+9c-18(c-2)(c+3)

06

Step 6. Simplify numerator

11c-12(c-2)(c+3)

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