What is factor x^6-y^6 ?

The solution to factor x^6-y^6 is (x+y)(x^2-xy+y^2)(x-y)(x^2+xy+y^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor x^6-y^6

factor

x^{6} - y^{6}

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

Solution steps

x^{6} - y^{6}

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

y^{6} = (y^{3})^{2}

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

Apply Difference of Two Squares Formula:

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

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

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

Factor

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

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

Factor

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

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

- \frac{4}{2 ( - 1 )}

\frac{- 5 a ^{4} b ^{3} c}{- a ^{2} b}

x^{3} + x^{2} - 17 x + 15 \geq 0

49 x^{2} y^{2} + 49 x y + 12

f = 4^{- 2}

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