Broken iPhone screen and AppleCare has expired

I'm really trying to improve my English.

Hello, I broke the screen six months ago and battery at 72%. Now I saw "your service life has expired".

Yes, I know, it's my fault. 

Because,I was forgoting the apple care.

Maybe the Terms of use  say that “if you haven't used apple care plus, you can use service at a discount or something like that.

Can you help?

Please, I really need help.

In all cases, thank you for reading and your time spent.

[Re-Titled by Moderator]