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Chapter 7: Q. 125 (page 668)

In the following exercises, perform indicated operations.

Short Answer

Expert verified

The resultant expression is-6m+6.

Step by step solution

01

Step 1. Given Information 

The given expression is6m+6-12mm2-36.

02

Step 2. Express with LCD

  • The LCD of the given expressions to subtract is (m-6)(m+6).
  • Express the given expression with LCD.

6m+6-12mm2-36=6m-36m+6m-6-12mm+6m-6

03

Step 3. Simplify

  • As the denominator is the same for both the terms, perform addition in the numerator and place it over the common denominator.

6m-36m+6m-6-12mm+6m-6=6m-36-12mm+6m-6=-6m-36m+6m-6

  • Cancel out the common factor from numerator and denominator.

-6m-36m+6m-6=-6m+6m+6m-6=-6m+6

  • So, the resultant expression is-6m+6.

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