Final answer:
To subtract (3t^2+5t+3) - (2t+2), distribute the negative sign to every term inside the parentheses. the final answer, which is 3t^2 + 3t + 1.
Step-by-step explanation:
To subtract (3t^2+5t+3) - (2t+2), distribute the negative sign to every term inside the parentheses. 
This gives us 3t^2 + 5t + 3 - 2t - 2. Combine like terms by collecting the t^2 terms, t terms, and constant terms. 
This results in 3t^2 + (5t - 2t) + (3 - 2). 
Simplify the expression further to obtain the final answer, which is 3t^2 + 3t + 1.