What is factor x^3y^6-8w^3 ?

The solution to factor x^3y^6-8w^3 is (xy^2-2w)(x^2y^4+2xy^2w+4w^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor x^3y^6-8w^3

factor

x^{3} y^{6} - 8 w^{3}

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

Solution steps

x^{3} y^{6} - 8 w^{3}

Rewrite

x^{3} y^{6}

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

Rewrite

8 w^{3}

(2 w)^{3}

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

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

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

144 h^{2} - 49 i^{4}

a^{2} c^{3} b + b d z

(x + y)^{2} + 3 (x + y) - 18

x^{10} - 100

q + (- 5)

What is factor x^3y^6-8w^3 ?
The solution to factor x^3y^6-8w^3 is (xy^2-2w)(x^2y^4+2xy^2w+4w^2)