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Chapter 7: Q. 139 (page 668)

In the following exercise, perform the indicated operation:

cc+2+5c-2-10cc2-4

Short Answer

Expert verified

The simplified answer isc-5c+2

Step by step solution

01

Step 1. Given information.

The following expression is given:

cc+2+5c-2-10cc2-4

02

Step 2. Performing the indicated operation.

Factorise the denominators:

cc+2+5c-2-10cc+2c-2

Find out the LCD:

c+2c-2

Rewrite the expression with the denominators equal to the LCD:

role="math" localid="1644733589455" cc-2c+2c-2+5c+2c-2c+2-10cc+2c-2

Simplify:

role="math" localid="1644733614175" c2-2c+5c+10-10cc+2c-2c2-7c+10c+2c-2c-5c-2c+2c-2

Cancel common factors from the numerator and the denominator:

c-5c+2

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