How do you factor the expression $x^{3} + y^{3}$ $x^3 + y^3$ ?

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How do you factor the expression $x^{3} + y^{3}$ $x^3 + y^3$ ?

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Answer 1 · 2016-04-23T09:47:53

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

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How do you factor the expression $x^{3} + y^{3}$ $x^3 + y^3$ ?

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