What is factor x^3y^6+z^3 ?

The solution to factor x^3y^6+z^3 is (xy^2+z)(x^2y^4-xy^2z+z^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor x^3y^6+z^3

factor

x^{3} y^{6} + z^{3}

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

Solution steps

x^{3} y^{6} + z^{3}

Rewrite

x^{3} y^{6}

(x y^{2})^{3}

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

Apply Sum of Cubes Formula:

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

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

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

Simplify

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

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

2 x^{2} - 5 x y + 4 a x - 10 a y

\infty ln (\infty) - \infty

[3.4]

2 a c + 2 a d - 3 b c - 3 b d

3 (u)^{3}

What is factor x^3y^6+z^3 ?
The solution to factor x^3y^6+z^3 is (xy^2+z)(x^2y^4-xy^2z+z^2)