The expression in the image is:

$38^2 - 32^2$

This is a difference of squares, which follows the formula:

$a^2 - b^2 = (a - b)(a + b)$

Here, $a = 38$ and $b = 32$, so we can rewrite the expression as:

$38^2 - 32^2 = (38 - 32)(38 + 32)$

Now, let's compute:

$38 - 32 = 6 \quad \text{and} \quad 38 + 32 = 70$

Thus:

$38^2 - 32^2 = 6 \times 70 = 420$

The final result is:

$38^2 - 32^2 = 420$

Would you like more details or have any questions? Here are five related questions to deepen understanding:

1. What is the general form of the difference of squares?
2. Can you simplify $49^2 - 35^2$ using the same method?
3. How would you expand $(a - b)(a + b)$ to show that it's equal to $a^2 - b^2$?
4. What other factorization formulas are commonly used in algebra?
5. How can this technique be applied to larger or more complex numbers?

Tip: Whenever you see a difference of squares, factor it immediately to simplify your calculations!