1. **State the problem:** Simplify the expression $$(3 \times 6 \cdot 3 \times 6)^2 + (3 \times 6 + 3 \times 6)^2$$. 2. **Calculate each part inside the parentheses:** - Calculate $3 \times 6 = 18$. - So the expression becomes $$(18 \cdot 18)^2 + (18 + 18)^2$$. 3. **Simplify inside the parentheses:** - $18 \cdot 18 = 324$ - $18 + 18 = 36$ 4. **Rewrite the expression:** $$324^2 + 36^2$$ 5. **Calculate each square:** - $324^2 = 104976$ - $36^2 = 1296$ 6. **Add the results:** $$104976 + 1296 = 106272$$ **Final answer:** $$106272$$