The expression given in the image is:

$(4x^3 y - 8xy + 2) + (2x^3 y + 8x + 2x)$

To simplify this:

1. Combine like terms:

   • $4x^3 y$ and $2x^3 y$ are like terms.
   • $-8xy$ has no like terms.
   • $8x$ and $2x$ are like terms.
   • The constants $2$ and $0$ (as no other constant is explicitly provided on the second term side).

2. Simplification:

$(4x^3 y + 2x^3 y) + (-8xy) + (8x + 2x) + 2$

Simplifying each pair:

$(6x^3 y) - 8xy + 10x + 2$

Thus, the simplified expression is:

$6x^3 y - 8xy + 10x + 2$

Would you like more details or have any questions?

Here are 5 related questions:

1. How do you identify like terms in a polynomial expression?
2. What is the difference between combining like terms and factoring?
3. How would you factor a polynomial like this one if needed?
4. Can this simplified expression be further factored?
5. How would this expression change if another variable were introduced?

Tip: When combining like terms, make sure the terms have exactly the same variables raised to the same powers!