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)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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 Difference 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})

4 ∣ x - 12 ∣ + 1 = - 7 ∣ x - 12 ∣ + 1

∣ 3 x - 1 ∣ \leq - 5

(\frac{25}{36})^{\frac{1}{2}}

(x + 2)^{2} - 10 (x + 2) = - 9

\frac{1}{2} (2) - 1

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)