5. Calculate $$(\sqrt{46}+6)^2 - 12\sqrt{46}$$.

Let's solve this step-by-step:

1. We need to expand the term $$(\sqrt{46}+6)^2$$ first. This is in the form $$(a+b)^2 = a^2 + 2ab + b^2$$.
2. Here, $$a = \sqrt{46}$$ and $$b = 6$$.
3. So, $$(\sqrt{46})^2 + 2(\sqrt{46})(6) + 6^2$$.
4. $$(\sqrt{46})^2 = 46$$.
5. $$2(\sqrt{46})(6) = 12\sqrt{46}$$.
6. $$6^2 = 36$$.
7. So, $$(\sqrt{46}+6)^2 = 46 + 12\sqrt{46} + 36$$.
8. Combine the constant terms: $$46 + 36 = 82$$.
9. So, $$(\sqrt{46}+6)^2 = 82 + 12\sqrt{46}$$.
10. Now, substitute this back into the original expression: $$(82 + 12\sqrt{46}) - 12\sqrt{46}$$.
11. The $$+12\sqrt{46}$$ and $$-12\sqrt{46}$$ cancel each other out.
12. This leaves us with 82.

Ответ: 82