SOLUTION: Divide the following fractions. 6p-18 3p-9 ----- divided by ------ 9p p^2+2p

Question 117935: Divide the following fractions.
6p-18 3p-9
----- divided by ------
9p p^2+2p
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression

Multiply the first fraction by the reciprocal of the second fraction

Factor to get

Factor to get

Factor to get

Factor to get

Factor 6 into 2*3

Combine the fractions

Cancel like terms

Simplify

So simplifies to .

Note: This is not a typo even though this answer is identical to the previous one. The previous expression is the same as . Can you see why?

---> and

--->

For each second expression, notice the denominators have swapped. Since they all get combined in one big denominator, the answer does not change.
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