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Given B ^ 2 = AC, find the value of a ^ 2B ^ 2C ^ 2 / A ^ 3 + B ^ 3 + C ^ 3 * 1 / A ^ 3 + 1 / b ^ 3 + 1 / C ^ 3
[(a ^ 2B ^ 2C ^ 2) / (a ^ 3 + B ^ 3 + C ^ 3)] * [1 / A ^ 3 + 1 / b ^ 3 + 1 / C ^ 3] = (a ^ 2B ^ 2C ^ 2) (1 / A ^ 3 + 1 / B ^ 3 + 1 / C ^ 3) / (a ^ 3 + B ^ 3 + C ^ 3) = [(b ^ 2C ^ 2 / a) + (a ^ 2C ^ 2 / b) + (a ^ 2B ^ 2 / C)] / (a ^ 3 + B ^ 3 + C ^ 3) known B ^ 2 = AC, (AC) ^ 2 = B ^ 4, carry in the above formula = [ac * C ^ 2 / A + B ^ 4 / B + A ^ 2 * AC / C] / (a
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