(a+b)(b+c)(c+a)(a+b)(b+c)(c+a)

Algebra Level 3

aa, bb and cc are real numbers such that a+b+c0,a3+b3+c3=36,abc=12.a+b+c \neq 0, a^3+b^3+c^3=36, abc=12. What is the value of (a+b)(b+c)(c+a)?(a+b)(b+c)(c+a)?

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