How to simplify

x^{3}- y^{3 }/ x - y

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- Mar 10th 2012, 07:32 AMAaPaHow to simplify x^3 - y^3 / x - y
How to simplify

x^{3}- y^{3 }/ x - y

- Mar 10th 2012, 07:42 AMskeeterRe: How to simplify x^3 - y^3 / x - y
- Mar 10th 2012, 07:43 AMDobbyRe: How to simplify x^3 - y^3 / x - y
$\displaystyle \frac{((x-y)(x^2+xy+y^2))}{(x-y)}$

- Mar 10th 2012, 07:44 AMWilmerRe: How to simplify x^3 - y^3 / x - y
You should know that:

x^3 - y^3 = (x - y)(x^2 + xy + y^2)

else you're not ready for this.

And your expression needs brackets: (x^3 - y^3) / (x - y) - Mar 10th 2012, 08:16 AMAaPaRe: How to simplify x^3 - y^3 / x - y
I knew that x^3 - y^3 = (x - y)(x^2 + xy + y^2)

and

x^3 - y^3 / (x - y) = (x^2 + xy + y^2)

This is what I wanted to prove. - Mar 10th 2012, 08:45 AMWilmerRe: How to simplify x^3 - y^3 / x - y
- Mar 10th 2012, 10:12 PMAaPaRe: How to simplify x^3 - y^3 / x - y
Is there a way to find these factors of

x^3 - y^3

except try and error? - Mar 10th 2012, 10:19 PMWilmerRe: How to simplify x^3 - y^3 / x - y
Google "difference of cubes".