I would just like someone to check my math on this, because I am not sure that I am doin it the right way. I will show step by step.(adsbygoogle = window.adsbygoogle || []).push({});

Put over common denominator: [itex] \frac{1}{x} + \frac{x}{x+y} + \frac{y}{x-y} [/itex]

1. common denominator: [itex] \frac{x^2-y^2}{x(x^2-y^2)} + \frac{x*x(x-y)}{x(x^2-y^2)}+\frac{y*x(x+y)}{x(x^2-y^2)}[/itex]

2. adding fractions: [itex]x^2-y^2 + x^2(x-y)+xy(x+y) \rightarrow x^2-y^2 + x^3-x^2y+x^2y+xy^2 \rightarrow x^3+x^2-y^2+xy^2[/itex]

The part I am confused with is that, I have to do the multiplication before I expand the brackets, now I thought you always expand the brackets first. This is why I think I have done the wrong method to get the right answer. Can someone set me right, if i have gone wrong somewhere. Big thanks in advanced.

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# Homework Help: Algebra fraction check

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