Find the polynomial \(p(x),\) with real coefficients, such that \(p(x^3) - p(x^3 - 2) = [p(x)]^2 + 12 \) for all real numbers \(x.\)
Find the polynomial \(p(x)\), with real coefficients, such that \(p(x^3) - p(x^3 - 2) = [p(x)]^2 + 12\)for all real numbers \(x\).
\(p(x) = 6x^3-6\)
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