en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor x^6-27

Solution

factor

x^{6} - 27

Solution

(x^{2} - 3) (x^{4} + 3 x^{2} + 9)

Solution steps

x^{6} - 27

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

(x^{2})^{3} - 3^{3} = (x^{2} - 3) (x^{4} + 3 x^{2} + 3^{2})

= (x^{2} - 3) (x^{4} + 3 x^{2} + 3^{2})

3^{2} = 9

= (x^{2} - 3) (x^{4} + 3 x^{2} + 9)

Popular Examples

\frac{x}{2} - 5 < - 8

factor x^2+16x+48 factor

x^{2} + 16 x + 48

4 x^{2} - 6 x = 0

(-1+2i)z+(3+i)=(6-5i)-(2+i)z

(- 1 + 2 i) z + (3 + i) = (6 - 5 i) - (2 + i) z

factor 10x^3+3x^2-x-10x^2-3x+1 factor

10 x^{3} + 3 x^{2} - x - 10 x^{2} - 3 x + 1

Frequently Asked Questions (FAQ)

What is factor x^6-27 ?
The solution to factor x^6-27 is (x^2-3)(x^4+3x^2+9)