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Chapter 7: Q. 109 (page 668)

In the following exercises, perform indicated operations.

3r+4+2r-5

Short Answer

Expert verified

The resultant expression is5r-7(r+4)(r-5).

Step by step solution

01

Step 1. Given Information

The given expression is3r+4+2r-5.

02

Step 2. Express with common denominator  

  • The LCD of the terms of given expression is (r+4)(r-5).
  • Multiply the numerator and denominator of first term by (r-5)and second term by (r+4).

role="math" localid="1645165429857" 3(r-5)(r+4)(r-5)+2(r+4)(r-5)(r+4)=3r-15(r+4)(r-5)+2r+8(r-5)(r+4)

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.

3r-15+2r+8(r+4)(r-5)=5r-7(r+4)(r-5)

  • So, the resultant expression is 5r-7(r+4)(r-5).

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