To simplify the expression $3t - 1 - (3t^3 + 2t)$, follow these steps:

1. Distribute the negative sign across the terms inside the parentheses: $3t - 1 - 3t^3 - 2t$

2. Combine like terms: $3t - 2t - 3t^3 - 1$

3. Simplify the terms: $t - 3t^3 - 1$

So, the simplified expression is: $t - 3t^3 - 1$

Would you like to go into more details or have any other questions?

Here are 5 related questions:

1. How would you simplify $2x - 4 - (5x^2 + x)$?
2. What is the degree of the polynomial $t - 3t^3 - 1$?
3. Can you factor the expression $t - 3t^3 - 1$?
4. How would the expression change if it were $3t + 1 - (3t^3 + 2t)$?
5. What are the roots of the equation $t - 3t^3 - 1 = 0$?

Tip: Always distribute negative signs carefully when simplifying expressions to avoid errors.