What is factor x^6-1000y^3 ?

The solution to factor x^6-1000y^3 is (x^2-10y)(x^4+10x^2y+100y^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor x^6-1000y^3

factor

x^{6} - 1000 y^{3}

(x^{2} - 10 y) (x^{4} + 10 x^{2} y + 100 y^{2})

Solution steps

x^{6} - 1000 y^{3}

Apply exponent rules

= (x^{2})^{3} - (10 y)^{3}

Apply Difference of Cubes Formula:

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

(x^{2})^{3} - (10 y)^{3} = (x^{2} - 10 y) ((x^{2})^{2} + x^{2} \cdot 10 y + (10 y)^{2})

= (x^{2} - 10 y) ((x^{2})^{2} + x^{2} \cdot 10 y + (10 y)^{2})

Simplify

(x^{2})^{2} + x^{2} \cdot 10 y + (10 y)^{2} : x^{4} + 10 x^{2} y + 100 y^{2}

= (x^{2} - 10 y) (x^{4} + 10 x^{2} y + 100 y^{2})

(3)^{2} + 1^{2}

(- 5)^{8}

3^{2} + 4^{2} + 5^{2}

4 a^{2} (6 a^{2} + 9 a + 3)

What is factor x^6-1000y^3 ?
The solution to factor x^6-1000y^3 is (x^2-10y)(x^4+10x^2y+100y^2)