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})

e^{j t} + e^{- j t}

20 ah - 5 ak - 32 y h + 8 y k

(x + 3) 2 + 14 (x + 3) + 49

(a - b)^{3} - 27

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)