On the operation of complex numbers, the numerator is (1-radical 3I) ^ 15 - (1 + radical 3I) ^ 6, and the denominator is (- 1 + I) ^ 12

On the operation of complex numbers, the numerator is (1-radical 3I) ^ 15 - (1 + radical 3I) ^ 6, and the denominator is (- 1 + I) ^ 12

By (- 1 + I) ^ 2 = - 2I, (- 2I) ^ 6 = - 2 ^ 6, (1 - √ 3) ^ 2 = - 2-2 √ 3I = - 2 (1 + √ 3I), (1 + √ 3I) ^ 2 = - 2 (1 - √ 3I), (1 + √ 3I) (1 - √ 3I) = 4 (1 - √ 3I) ^ 10 = - 2 ^ 5 * (1 - √ 3I) ^ 5, the former term of the numerator is - 2 ^ 5 * 4 ^ 5 = - 2 ^ 15, similarly, the latter term of the numerator is - 2 ^ 6, then the original formula is (- 2 ^ 15-2 ^