かねる・かねない: the difference
かねるN2
Meaning
Cannot, Be unable to, Hard to, Hesitant to
Past papers
Tested 3 times in past papers
Example
「役者になりたい」だなんて、賛成しかねる。
Saying 'I want to be an actor'? I can't agree with that.
かねないN2
Meaning
Might, Could be, Capable of, Possible
Past papers
Tested 3 times in past papers
Example
この事をそのままにしていたら、摩擦を生み兼ねない。
If you leave it at that, it might cause conflict.
How to tell them apart
「〜かねる」: positive in form, means 'cannot do'; a refusal.
「〜かねない」: negative in form, means 'may well happen' (something bad).
They look opposite and mean opposite; an easy trap on the exam.