The expression in the image appears to be:

$(5\sqrt{6} - 2\sqrt{3})(5\sqrt{6} + 2\sqrt{3})$

This is a product of two binomials in the form $(a - b)(a + b)$, which simplifies using the difference of squares formula:

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

Here, $a = 5\sqrt{6}$ and $b = 2\sqrt{3}$. Applying the formula:

$(5\sqrt{6} - 2\sqrt{3})(5\sqrt{6} + 2\sqrt{3}) = (5\sqrt{6})^2 - (2\sqrt{3})^2$

Now, let's simplify each term:

$(5\sqrt{6})^2 = 25 \times 6 = 150$ $(2\sqrt{3})^2 = 4 \times 3 = 12$

So, the expression simplifies to:

$150 - 12 = 138$

Thus, the result of the expression is 138.

Do you want further details or have any questions?

Here are five related questions to expand on this topic:

1. How does the difference of squares formula apply to complex numbers?
2. Can we use a different method to simplify this expression?
3. What are some common mistakes when simplifying binomial products involving square roots?
4. How can you use the distributive property to check the result?
5. How does the simplification change if there are different radicals under the square roots?

Tip: Always double-check both binomial terms before applying the difference of squares to ensure they match the required form!