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Old May 12th, 2008, 08:32 AM
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Default Reduction math problem

Hi, I'm trying to solve this very simple reduction problem, but I just can't get my head around it.

Here it goes:

xy + x^2 / xy

It's supposed to be reduced, and my best bet is that the solution is
x/y but I'm not sure at all..

Any help appreciated!
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Old May 12th, 2008, 08:38 AM
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xy + x^2 / xy

I will assume that you mean xy + ((x^2) / xy)

If that is the case, xy + x/y -----> x(y + (1/y)) this last one not as nice..

Is this what you wanted? Explain please.

-Andy
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Old May 12th, 2008, 08:55 AM
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Quote:
Originally Posted by David T View Post
Hi, I'm trying to solve this very simple reduction problem, but I just can't get my head around it.

Here it goes:

xy + x^2 / xy

It's supposed to be reduced, and my best bet is that the solution is
x/y but I'm not sure at all..

Any help appreciated!
xy+\frac{x^2}{xy}\Rightarrow{xy+\frac{x}{y}}

Combining fractions we get \frac{xy^2+x}{y}=\frac{x(y^2+1)}{y}
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Old May 12th, 2008, 09:14 AM
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Quote:
Originally Posted by David T View Post
Hi, I'm trying to solve this very simple reduction problem, but I just can't get my head around it.

Here it goes:

xy + x^2 / xy

It's supposed to be reduced, and my best bet is that the solution is
x/y but I'm not sure at all..

Any help appreciated!
Ok, I won't do it the way the other ones did it

\frac{xy+x^2}{xy}=\frac{x(y+x)}{xy}=\frac{y+x}{y}=1+\frac xy

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Old May 12th, 2008, 09:44 AM
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Quote:
Originally Posted by Moo View Post
Ok, I won't do it the way the other ones did it

\frac{xy+x^2}{xy}=\frac{x(y+x)}{xy}=\frac{y+x}{y}=1+\frac xy

You know what? You are actually probably right in guessing that is what the poster meant. Sharp eyes
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Old May 12th, 2008, 09:46 AM
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You know what? You are actually probably right in guessing that is what the poster meant. Sharp eyes
It's not me, it's you who look for complicated things

However, I agree on one point : the OP didn't write the text clearly...
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Old May 13th, 2008, 06:21 AM
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Thanks for all the input guys!

Moo your answer was what I was looking for, thanks a lot!
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