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Chapter 7: Q. 111 (page 660)

In the following exercises, perform indicated operations.

53w-2+2w+1

Short Answer

Expert verified

The resultant expression is11w+1(3w-2)(w+1).

Step by step solution

01

Step 1. Given Information

The given expression is53w-2+2w+1.

02

Step 2. Express with common denominator 

  • The LCD of the terms of given expression is (3w-2)(w+1).
  • Multiply the numerator and denominator of first term by (w+1)and second term by (3w-2).

role="math" localid="1645166143677" 5(w+1)(3w-2)(w+1)+2(3w-2)(w+1)(3w-2)=5w+5(3w-2)(w+1)+6w-4(w+1)(3w-2)

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.

5w+5+6w-4(3w-2)(w+1)=11w+1(3w-2)(w+1)

  • So, the resultant expression is 11w+1(3w-2)(w+1).

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