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Chapter 7: Q. 87 (page 667)

In the following exercises, subtract.

6p2+3p+4p2+4p-5-5p2+p+7p2+4p-5

Short Answer

Expert verified

The resultant expression isp+3p+5.

Step by step solution

01

Step 1. Given Information

The given expression is6p2+3p+4p2+4p-5-5p2+p+7p2+4p-5.

02

Step 2. Subtract the numerator 

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

6p2+3p+4-5p2-p-7p2+4p-5=p2+2p-3p2+4p-5

03

Step 3. Factor the expression 

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

(p+3)(p-1)(p+5)(p-1)=p+3p+5

  • So, the resultant expression is p+3p+5.

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