Let's simplify the expression:

$8x^2 - 4x + 4x - 2$

First, combine the like terms $-4x$ and $4x$:

$8x^2 - 2$

So, the simplified expression is:

$8x^2 - 2$

Would you like more details or have any questions? Here are some related questions:

1. How do you factor quadratic expressions like $8x^2 - 2$?
2. How would you solve $8x^2 - 2 = 0$?
3. What is the derivative of $8x^2 - 2$?
4. Can you graph the function $y = 8x^2 - 2$?
5. How do you complete the square for an expression like $8x^2 - 2$?

Tip: Always combine like terms first when simplifying algebraic expressions.