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Chapter 7: Q. 112 (page 668)

In the following exercises, perform indicated operations.

42x+5+2x-1

Short Answer

Expert verified

The resultant expression is8x+6(2x+5)(x-1).

Step by step solution

01

Step 1. Given Information

The given expression is42x+5+2x-1.

02

Step 2. Express with common denominator  

  • The LCD of the terms of given expression is (2x+5)(x-1).
  • Multiply the numerator and denominator of first term by (x-1)and second term by (2x+5).

role="math" localid="1645166494274" 4(x-1)(2x+5)(x-1)+2(2x+5)(x-1)(2x+5)=4x-4(2x+5)(x-1)+4x+10(x-1)(2x+5)

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.

4x-4+4x+10(2x+5)(x-1)=8x+6(2x+5)(x-1)

  • So, the resultant expression is 8x+6(2x+5)(x-1).

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