What is factor 3x^3-x^2y-3xy^2+y^3 ?

The solution to factor 3x^3-x^2y-3xy^2+y^3 is (3x-y)(x+y)(x-y)

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factor 3x^3-x^2y-3xy^2+y^3

factor

3 x^{3} - x^{2} y - 3 x y^{2} + y^{3}

(3 x - y) (x + y) (x - y)

Solution steps

3 x^{3} - x^{2} y - 3 x y^{2} + y^{3}

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

Factor out

x^{2}

from

3 x^{3} - x^{2} y : x^{2} (3 x - y)

Factor out

y^{2}

from

y^{3} - 3 x y^{2} : y^{2} (y - 3 x)

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

y^{2} (y - 3 x) = - y^{2} (3 x - y)

= x^{2} (3 x - y) - y^{2} (3 x - y)

Factor out common term

3 x - y

= (3 x - y) (x^{2} - y^{2})

Factor

x^{2} - y^{2} : (x + y) (x - y)

= (3 x - y) (x + y) (x - y)

\frac{2 ^{- 3}}{5}

\frac{2 ^{- 3}}{4}

8 x^{2} - 12 x y

\frac{1000}{30}

What is factor 3x^3-x^2y-3xy^2+y^3 ?
The solution to factor 3x^3-x^2y-3xy^2+y^3 is (3x-y)(x+y)(x-y)