Let's simplify the expression step by step:

Given expression: $(4x^2 - 8) + (2x^2 - 8x)$

Step 1: Remove the parentheses

We can remove the parentheses since the signs outside the parentheses are positive: $4x^2 - 8 + 2x^2 - 8x$

Step 2: Combine like terms

Now, let's combine the terms involving $x^2$, $x$, and constants separately:

• Combine $4x^2$ and $2x^2$: $4x^2 + 2x^2 = 6x^2$
• There are no other terms involving $x$ except $-8x$, so it remains as it is.
• Combine the constant terms $-8$: $-8$

Final simplified expression:

$6x^2 - 8x - 8$

This is the simplified form of the expression.

Would you like more details or have any questions?

Here are 5 related questions for further exploration:

1. How can we factor the expression $6x^2 - 8x - 8$?
2. What is the derivative of $6x^2 - 8x - 8$?
3. Can we solve $6x^2 - 8x - 8 = 0$?
4. What is the graph of the quadratic expression $6x^2 - 8x - 8$?
5. How does completing the square work on $6x^2 - 8x - 8$?

Tip: When simplifying expressions, always group like terms (those with the same variable powers) to avoid mistakes.