I need some help continuing the pattern for limits here is what I have so far:

$\displaystyle a^3-b^3=(a-b)(a^2+ab+b^2)$

$\displaystyle a^4-b^4=(a-b)(a+b)(a^2+b^2)$

$\displaystyle a^5-b^5=?$

$\displaystyle a^6-b^6=?$

$\displaystyle a^7-b^7=?$

$\displaystyle a^8-b^8=?$

$\displaystyle a^9-b^9=?$

$\displaystyle a^{10}-b^{10}=?$

Thanks!