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Chapter 7: Q. 83 (page 667)

In the following exercises, subtract.

9a23a-7-493a-7

Short Answer

Expert verified

The simplified expression is3a+7.

Step by step solution

01

Step 1. Given Information

The given expression is9a23a-7-493a-7

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.

9a23a-7-493a-7=9a2-493a-7

9a2-493a-7

03

Step 3. Factor the expression    

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

(3a-7)(3a+7)(3a-7)=3a+7

  • So, the resultant expression is 3a+7.

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