The expression in the image is $4x(3x + 2)$.

To simplify this expression, we use the distributive property:

$4x(3x + 2) = 4x \cdot 3x + 4x \cdot 2$

Now perform the multiplication:

$4x \cdot 3x = 12x^2$ $4x \cdot 2 = 8x$

Thus, the simplified form of the expression is:

$12x^2 + 8x$

Would you like a more detailed explanation or have any further questions?

Here are 5 related questions to expand on this:

1. How does the distributive property work in more complex expressions?
2. Can you factor the expression $12x^2 + 8x$ further?
3. What is the next step if you want to solve $4x(3x + 2) = 0$?
4. How does this expression relate to quadratic equations?
5. What happens if you substitute a value for $x$ in the expression?

Tip: Always distribute terms carefully to avoid mistakes in algebraic simplification.