# Sum of really Big CUBES !!!!!!!

Algebra Level 3

$$55067^{3} + 23058^{3} - 38683^{3} -39442^{3} = a \times 10^{n}$$

where $$1< a < 10$$ and $$n$$ is a positive number. What is the value of $$na^{2}$$?

Hint: $$(A+B+C)^3 = A^{3} + B^{3} + C^{3} + 3(A+B)(B+C)(C+A)$$

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