Combine like terms.
x, squared, plus, 2, y, cubed, minus, 3, x, squared, plus, 1, plus, 5, minus, 4, plus, 3, y, cubed
x 
2
 +2y 
3
 −3x 
2
 +1+5−4+3y 
3

Let's combine like terms from the given expression:

\[
x^2 + 2y^3 - 3x^2 + 1 + 5 - 4 + 3y^3
\]

1. Combine the \(x^2\) terms: 
   \[
   x^2 - 3x^2 = -2x^2
   \]

2. Combine the \(y^3\) terms:
   \[
   2y^3 + 3y^3 = 5y^3
   \]

3. Combine the constants:
   \[
   1 + 5 - 4 = 2
   \]

Now, the simplified expression is:

\[
-2x^2 + 5y^3 + 2
\]

This is the final simplified result.

Would you like further details or have any questions?

Here are 5 related questions:
1. How do you combine terms with different variables?
2. What is the process for factoring an expression after combining like terms?
3. How do you simplify expressions with negative coefficients?
4. What happens when you combine terms that have the same exponent but different coefficients?
5. Can you explain the difference between like and unlike terms in an expression?

**Tip:** When combining like terms, make sure that both the variable and its exponent match across terms!

Combine like terms: x^2 + 2y^3 - 3x^2 + 1 + 5 - 4 + 3y^3

In this lesson, we simplify the expression x^2 + 2y^3 - 3x^2 + 1 + 5 - 4 + 3y^3 by combining like terms. The problem involves algebraic concepts such as polynomials and the basic arithmetic of combining terms with the same variables and exponents. Suitable for students in Grades 6-8.

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