Let's simplify the given expression step by step:

Given expression: $x^2 + 2y^3 - 3x^2 + 1 + 5 - 4 + 3y^3$

1. Combine like terms:

   • Combine the $x^2$ terms: $x^2 - 3x^2 = -2x^2$.
   • Combine the $y^3$ terms: $2y^3 + 3y^3 = 5y^3$.
   • Combine the constant terms: $1 + 5 - 4 = 2$.

2. Simplified expression: $-2x^2 + 5y^3 + 2$

So, the simplified expression is: $-2x^2 + 5y^3 + 2$

Would you like to explore more details or have any questions?

Here are 5 related questions to consider:

1. How do you identify like terms in a polynomial?
2. What is the degree of the simplified polynomial?
3. How would you graph the simplified expression?
4. Can you factor any part of the simplified expression further?
5. How does changing the coefficients of $x^2$ and $y^3$ affect the expression?

Tip: Always combine like terms first when simplifying expressions, as it reduces the expression to its simplest form.