Can someone explain the differences between..?
Wakarimasen
Wakaranai
Wakarimashite

Question

Answer

Wakarimasen = I could not understand (polite)
Wakaranai  = i could not understand (a bit rude)
Wakarimashite = I see ( or i understand)

Answer

Wakarimasen:
Explaining your status as "You are not undestanding it"

Wakaranai:
Just explaining your feeling like "I cannot understand it"

WakarimashitA:
"Oh, I got it!"

Answer

Wakarimasen わかりません　＝ i don't understand ( More Polite )

Wakaranai わからない　＝ i don't understand

Wakarimashita　わかりました　＝ understood