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Chapter 7: Q. 85 (page 667)

In the following exercises, subtract.

3m26m-30-21m-306m-30

Short Answer

Expert verified

The simplified expression ism-22.

Step by step solution

01

Step 1. Given Information

The given expression is3m26m-30-21m-306m-30

02

Step 2. Subtract the numerator 

As the denominator is the same for both the terms, subtract the numerator and place it over the common denominator.

3m26m-30-21m-306m-30=3m2-21m+306m-30

3m26m-30-21m-306m-30=3m2-21m+306m-30
03

Step 3. Factor the expression  

  • Factor the expression in the numerator and denominator, and then cancel out the common terms from the numerator and denominator.

3(m-5)(m-2)6(m-5)=m-22

  • So, the resultant expression ism-22.

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