What is factor y^6-x^6 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor y^6-x^6

factor

y^{6} - x^{6}

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

Solution steps

y^{6} - x^{6}

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

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

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

Apply Difference of Two Squares Formula:

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

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

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

Factor

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

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

Factor

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

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

x^{2} - 4 x + 85 = 0

z^{2} - x^{2}

3 x + \frac{23}{32} = \frac{7}{8} - \frac{1}{16} x - \frac{1}{4}

x^{5} - x^{4} y^{3}

1 + \frac{x + 1}{3} = x - \frac{3 x + 1}{8}

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