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July 11th, 2014, 12:19 AM   #1
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Simplify (x^2+y^2)/(x+xy)

Simplify
$\dfrac{x^2+y^2}{x+xy}$

$\dfrac{x^2+y^2}{x+xy}
= \dfrac{x^2+y^2}{x(x+y)}$ What can be done next
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July 11th, 2014, 12:29 PM   #2
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Your first step is incorrect. Perhaps you have misstated the denominator. I wonder also whether you have a sign error in the numerator.
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July 11th, 2014, 02:52 PM   #3
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How did I mistate the denominator?
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July 11th, 2014, 03:16 PM   #4
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Well $x + xy \ne x(x+y)$.

$$x+xy = x(1+y)$$

So either your factoring is wrong, or you wrote the denominator incorrectly in the first place.
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July 11th, 2014, 04:46 PM   #5
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Thanks for the correction.
The right thing is
$\frac{x^2+y^2}{x+xy}=\frac{x^2+y^2}{x(1+y)}$

So what do I do next?

Last edited by Chikis; July 11th, 2014 at 04:51 PM.
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July 11th, 2014, 05:35 PM   #6
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Quote:
Originally Posted by Chikis View Post
Thanks for the correction.
The right thing is
$\frac{x^2+y^2}{x+xy}=\frac{x^2+y^2}{x(1+y)}$

So what do I do next?
Nothing.
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