What is factor x^3y^3+125z^3 ?

The solution to factor x^3y^3+125z^3 is (xy+5z)(x^2y^2-5xyz+25z^2)

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factor x^3y^3+125z^3

factor

x^{3} y^{3} + 125 z^{3}

(x y + 5 z) (x^{2} y^{2} - 5 x yz + 25 z^{2})

Solution steps

x^{3} y^{3} + 125 z^{3}

Rewrite

x^{3} y^{3}

(x y)^{3}

Rewrite

125 z^{3}

(5 z)^{3}

= (x y)^{3} + (5 z)^{3}

Apply Sum of Cubes Formula:

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

(x y)^{3} + (5 z)^{3} = (x y + 5 z) ((x y)^{2} - x y 5 z + (5 z)^{2})

= (x y + 5 z) ((x y)^{2} - x y 5 z + (5 z)^{2})

Simplify

(x y + 5 z) ((x y)^{2} - x y \cdot 5 z + (5 z)^{2}) : (x y + 5 z) (x^{2} y^{2} - 5 x yz + 25 z^{2})

= (x y + 5 z) (x^{2} y^{2} - 5 x yz + 25 z^{2})

4 d^{3} + 16 d e^{2}

cos^{- 0.83147} (x)

x^{2} + 3 x + 3^{2}

(- 2 x + 9) (x 2 + 2 x - 1)

a^{3} x + a^{3} y - 5 x - 5 y

What is factor x^3y^3+125z^3 ?
The solution to factor x^3y^3+125z^3 is (xy+5z)(x^2y^2-5xyz+25z^2)