What should I do for study and make my mom's believe on me?

I'm just broken my mom's believe on me because of my boyfriend she doesn't like me with my boyfriend. we are separated but she doesn't believe and she don't like I'm gonna out side alone but i want to study because I have a opportunity I can't understand any thing because I can't be asked my mom because of my past mistakes so please help to understand my problem and what should I do? Or what should my mom doing with me? Please tell just like a friend

What should I do for study and make my mom's believe on me?
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