How do you factor: $x^3 + y^3$ ?

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Answer 1 · 2015-11-30T23:57:49

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

This is a sum of cubes.

This is a semi-important identity to know:

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

Although it doesn't apply directly to this question, it's also important to know that $(x^3-y^3)=(x-y)(x^2+xy+y^2)$ .

This gives us the rule: $(x^3+-y^3)=(x+-y)(x^2∓xy+y^2)$

How do you factor: x^3 + y^3 x^3 + y^3 ?