en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor x^6+216

Solution

factor

x^{6} + 216

Solution

(x^{2} + 6) (x^{4} - 6 x^{2} + 36)

Solution steps

x^{6} + 216

Apply exponent rules

= (x^{2})^{3} + 6^{3}

Apply Sum of Cubes Formula:

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

(x^{2})^{3} + 6^{3} = (x^{2} + 6) (x^{4} - 6 x^{2} + 6^{2})

= (x^{2} + 6) (x^{4} - 6 x^{2} + 6^{2})

6^{2} = 36

= (x^{2} + 6) (x^{4} - 6 x^{2} + 36)

Popular Examples

factor 64-343x^3 factor

64 - 343 x^{3}

simplify 9-9csc^2(x)simplify

9 - 9 csc^{2} (x)

expand (x^n+y^n)^2 expand

(x^{n} + y^{n})^{2}

simplify ((x^2-2x+1))/((x^2-1))simplify

\frac{( x ^{2} - 2 x + 1 )}{( x ^{2} - 1 )}

expand m^2(n^2+4n-5)-m^4(n^2+4n-5)expand

m^{2} (n^{2} + 4 n - 5) - m^{4} (n^{2} + 4 n - 5)

Frequently Asked Questions (FAQ)

What is factor x^6+216 ?
The solution to factor x^6+216 is (x^2+6)(x^4-6x^2+36)