What is factor x^3y^3+8z^3 ?

The solution to factor x^3y^3+8z^3 is (xy+2z)(x^2y^2-2xyz+4z^2)

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factor x^3y^3+8z^3

factor

x^{3} y^{3} + 8 z^{3}

(x y + 2 z) (x^{2} y^{2} - 2 x yz + 4 z^{2})

Solution steps

x^{3} y^{3} + 8 z^{3}

Rewrite

x^{3} y^{3}

(x y)^{3}

Rewrite

8 z^{3}

(2 z)^{3}

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

Apply Sum of Cubes Formula:

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

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

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

Simplify

(x y + 2 z) ((x y)^{2} - x y \cdot 2 z + (2 z)^{2}) : (x y + 2 z) (x^{2} y^{2} - 2 x yz + 4 z^{2})

= (x y + 2 z) (x^{2} y^{2} - 2 x yz + 4 z^{2})

2 x - x

49 a^{2} - 25 a^{2}

2 x^{2 - n} + x^{n - 1}

3 P y + (P - 1)

[- 12.5]

What is factor x^3y^3+8z^3 ?
The solution to factor x^3y^3+8z^3 is (xy+2z)(x^2y^2-2xyz+4z^2)