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.

Learn how to simplify the expression 3t - 1 - (3t^3 + 2t) with a detailed step-by-step solution. This problem covers key algebraic concepts, including algebraic simplification and combining like terms. Suitable for students in Grades 7-9.

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