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Chapter 7: Q. 79 (page 667)

In the following exercises, add.

2r22r-1+15r-82r-1

Short Answer

Expert verified

The simplified expression isr+8butr鈮�12.

Step by step solution

01

Step 1. Given Information

The given expression is2r22r-1+15r-82r-1

02

Step 2. Add the numerator

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

2r22r-1+15r-82r-1=2r2+15r-82r-1

03

Step 3. Factor the numerator

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

(2r-1)(r+8)(2r-1)=r+8

  • So, the resultant expression is r+8but the denominator of the given expression was 2r-1, so, r鈮�12.

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