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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: 6,972 Thanks: 2293 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: 6,972 Thanks: 2293 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 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 10,682 Thanks: 700  

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