話します＝speak or talk (just verb 話せます＝can speak or can talk forexample, 私 は 母 と　 話します。　is 　ok, but, japanese don't　say 私　は　母　と　話せます( I can talk with my mother ) because this sentence is strange.

Hanasemasu means "Can speak" Hanashimasu means "Speaks" Nihongo ga hanasemasu ka? - Can you speak Japanese? Nihongo o hanashimasu ka? - Do you speak Japanese? You have to use "ga" with hanasemasu and "o" with hanashimasu.