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(ab - bc + ca)^3 = {(ab - bc) + ca}^3 = (ab - bc)^3 +3 (ab - bc)^2 ca + 3(ab - bc) (ca)^2 + (ca)^3 = (ab)^3 - 3 (ab)^2 bc + 3*ab(bc)^2 - (bc)^3 + 3ca {(ab)^2 - 2*ab*bc + (bc)^2} +(3ab - 3bc) c^2a^2 + c^3a^3 = a^3b^3 - 3 a^2b^2*bc + 3ab*b^2c^2 - b^3c^3 + 3ca ( a^2b^2 - 2ab^2c + b^2c^2) + 3a^3bc^2 - 3a^2bc^3 + c^3a^3 = a^3b^3 - 3a^2b^3c + 3ab^3c^2 - b^3c^3 + 3a^3b^2c - 6a^2b^2c^2 + 3c^3b^2a + 3a^3bc^2 - 3a^2bc^3 + c^3a^3
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