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December 6th, 2010, 06:06 AM   #1
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Quick problem

I'm trying to help my g/f with her homework, but to be quite frank I've forgotten so much of this over the years.
She is to simplify each rational expression. I've cruised through it until this point.


Code:
x^3-125/x^2-25
She straight up tried to divide I believe and came up with
Code:
x^2-5/x
which I'm relatively certain is incorrect. But as I said, I have forgotten some of the rules.

I'm of the personal opinion that this problem cannot be further simplified but I want to make sure since she's pushing passing the course (I should have helped sooner, I'm a bad b/f!)

Thanks all and any.

Q
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December 6th, 2010, 06:10 AM   #2
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Re: Quick problem

Factor the top as a difference of cubes: x^3-125= (x-5)(x^2+5x+25)
the bottom as a difference of squares: x^2-25 =(x-5)(x+5)
cancel the common factor (x-5)
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December 6th, 2010, 03:22 PM   #3
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Re: Quick problem

this is the solution

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