What is factor x^6y^3-8a^3b^6 ?

The solution to factor x^6y^3-8a^3b^6 is (x^2y-2ab^2)(x^4y^2+2ab^2x^2y+4a^2b^4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor x^6y^3-8a^3b^6

factor

x^{6} y^{3} - 8 a^{3} b^{6}

(x^{2} y - 2 a b^{2}) (x^{4} y^{2} + 2 a b^{2} x^{2} y + 4 a^{2} b^{4})

Solution steps

x^{6} y^{3} - 8 a^{3} b^{6}

Rewrite

x^{6} y^{3}

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

Rewrite

8 a^{3} b^{6}

(2 a b^{2})^{3}

= (x^{2} y)^{3} - (2 a b^{2})^{3}

Apply Difference of Cubes Formula:

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

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

= (x^{2} y - 2 a b^{2}) ((2 a b^{2})^{2} + 2 a b^{2} x^{2} y + (x^{2} y)^{2})

Simplify

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

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

[y + (4 - 2 x)]^{(2)}

x^{7} + 6 x^{5} + 12 x^{3} + 8 x

2 (x + 1)^{2} - (x + 79)

\frac{d}{d y} ((x) (u (x) y))

lo g_{x} (x)

What is factor x^6y^3-8a^3b^6 ?
The solution to factor x^6y^3-8a^3b^6 is (x^2y-2ab^2)(x^4y^2+2ab^2x^2y+4a^2b^4)