What is factor x^3y^3-z^3 ?

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

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factor x^3y^3-z^3

factor

x^{3} y^{3} - z^{3}

(x y - z) (x^{2} y^{2} + x yz + z^{2})

Solution steps

x^{3} y^{3} - z^{3}

Rewrite

x^{3} y^{3}

(x y)^{3}

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

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

= (x y - z) (x^{2} y^{2} + x yz + z^{2})

b x + 2 b + c x + 2 c

7 (a + b)^{2} + 8 (a + b) + 1

\frac{6 + 2 2}{7}

(cos (x))^{2} + 1

(4 a + b) + (2 x - y)

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