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 July 11th, 2014, 12:19 AM #1 Senior Member     Joined: Jan 2012 Posts: 720 Thanks: 7 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
 July 11th, 2014, 12:29 PM #2 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,236 Thanks: 2412 Math Focus: Mainly analysis and algebra Your first step is incorrect. Perhaps you have misstated the denominator. I wonder also whether you have a sign error in the numerator.
 July 11th, 2014, 02:52 PM #3 Senior Member     Joined: Jan 2012 Posts: 720 Thanks: 7 How did I mistate the denominator?
 July 11th, 2014, 03:16 PM #4 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,236 Thanks: 2412 Math Focus: Mainly analysis and algebra 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.
 July 11th, 2014, 04:46 PM #5 Senior Member     Joined: Jan 2012 Posts: 720 Thanks: 7 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.
July 11th, 2014, 05:35 PM   #6
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 Originally Posted by Chikis 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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