what's subtle difference between these three expression?
I am sympathetic to your problems.I am sympathetic about your problems.I am sympathetic with your problems. They all seem grammatically correct to me. But are they have the same meaning?

Question

Answer

to be + sympathetic to
to have + sympathy with

I am sympathetic to your plight (situation).
I have sympathy with your situation.

Answer

being sympathetic with your problems is the one that sounds best to me. I could say to also, but I think it may get less use. About seems a bit off, but it’s probably ok too.

Answer

The first two sentences are used more in daily life but they all mean the same thing. Here is a link that could help you:

https://lingohelp.me/preposition-after-adjective/sympathetic-to-towards-with-about-for/

Answer

US Englisch may be more flexible with this than the answer Drew gave but I do like his examples as a good guidelines to follow.

Evden çıkmadan dil öğrenme fırsatını kaçırmayın. Deneyimli dil eğitmenlerimizden oluşan seçkimize göz atın ve ilk dersinize şimdi kaydolun!