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Chapter 8: 550 - Review Exercises (page 1026)

Add and Subtract Rational Expressions whose Denominators are Opposites

In the following exercises, add and subtract.

8y2-10y+72y-5+2y2+7y+25-2y.

Short Answer

Expert verified

The answer is3y-1.

Step by step solution

01

Step 1. Given Information.

Given:

8y2-10y+72y-5+2y2+7y+25-2yhaving the same denominator just with opposite sign.

02

Step 2. Creating the denominator exactly same. 

Now take a minus sign out of denominator of second term in the above expression we get:

8y2-10y+72y-5-2y2+7y+22y-5.

Now we can clearly see that the denominators are same.

03

Step 3. Solving the expression in step 2.

Now as the denominators are same so we can directly subtract the numerators:

8y2-10y+72y-5-2y2+7y+22y-5=8y2-10y+7-(2y2+7y+2)2y-5=8y2-10y+7-2y2-7y-22y-5=6y2-17y+52y-5=6y2-15y-2y+52y-5=3y(2y-5)-1(2y-5)2y-5=(3y-1)(2y-5)2y-5=3y-1

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