Question 879689
I'm assuming you want to factor this.




{{{x^3+y^3}}} Start with the given expression.



{{{(x+y)((x)^2-(x)(y)+(y)^2)}}} Factor by using the sum of cubes formula. Remember the <a href="http://www.purplemath.com/modules/specfact2.htm">sum of cubes formula</a> is {{{A^3+B^3=(A+B)(A^2-AB+B^2)}}}



{{{(x+y)(x^2-xy+y^2)}}} Multiply


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Answer:


So {{{x^3+y^3}}} factors to {{{(x+y)(x^2-xy+y^2)}}}.


In other words, {{{x^3+y^3=(x+y)(x^2-xy+y^2)}}}