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Chapter 7: Q. 110 (page 668)

In the following exercises, perform indicated operations.

4s-7+5s+3

Short Answer

Expert verified

The resultant expression is9s-23(s-7)(s+3).

Step by step solution

01

Step 1. Given Information

The given expression is4s-7+5s+3.

02

Step 2. Express with common denominator

  • The LCD of the terms of given expression is (s-7)(s+3).
  • Multiply the numerator and denominator of first term by (s+3)and second term by (s-7).

role="math" localid="1645165764841" 4(s+3)(s-7)(s+3)+5(s-7)(s+3)(s-7)=4s+12(s-7)(s+3)+5s-35(s+3)(s-7)

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.

4s+12+5s-35(s-7)(s+3)=9s-23(s-7)(s+3)

  • So, the resultant expression is9s-23(s-7)(s+3).

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