What is factor (xy)^3-z^3 ?

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

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factor (xy)^3-z^3

factor

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

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

Solution steps

(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})

8 x - 14 x - 5 x + 37 a l g e b r a

2 + (y - x)

x^{- 8} - y^{8}

(sin (2 x))^{3}

A (9.3) y B

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