2a ^ 2 + 3alpha - 2 + 5alpha ^ 3 - 3alpha + 2 =

To simplify the expression \( 2a^2 + 3\alpha - 2 + 5\alpha^3 - 3\alpha + 2 \), combine like terms:

1. Combine the constant terms: \(-2 + 2 = 0\)
2. Combine the \(\alpha\) terms: \(3\alpha - 3\alpha = 0\)

Now, we are left with the remaining terms: \[ 2a^2 + 5\alpha^3 \]

So, the simplified expression is: \[ 2a^2 + 5\alpha^3 \]