How do I simplify this problem.

(2nr - nr^2)r - (2nr - nr^2) . 2r

just use the good old distributive property:

(2nr - nr^2)r - (2nr - nr^2) . 2r
2nr^2 - nr^3 - (2nr^2 - 2nr^3)
2nr^2 - nr^3 - 2nr^2 + 2nr^3
nr^3