Difference of Two Powers/Examples

Examples of Use of Difference of Two Powers

Difference of Two Cubes

$x^3 - y^3 = \paren {x - y} \paren {x^2 + x y + y^2}$

Difference of Two Fourth Powers

$x^4 - y^4 = \paren {x - y} \paren {x + y} \paren {x^2 + y^2}$

Difference of Two Fifth Powers

$x^5 - y^5 = \paren {x - y} \paren {x^4 + x^3 y + x^2 y^2 + x y^3 + y^4}$

Difference of Two Sixth Powers

$x^6 - y^6 = \paren {x - y} \paren {x + y} \paren {x^2 + x y + y^2} \paren {x^2 - x y + y^2}$