证明: =(a一b)(a—c)(a一d)(b一c)(b一d)(c一d)(a+b+c+d).

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问题 证明:
=(a一b)(a—c)(a一d)(b一c)(b一d)(c一d)(a+b+c+d).

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答案[*] =(b一a)(c一a)(d一a)(c一b)(d一b)[(a2一c2)+b(d—c)+a(d—c)] =(b一a)(c一a)(d一a)(c一b)(d一b)(d—c)(a+b+C+d) =(a一b)(a一c)(a一d)(b一c)(b一d)(c一d)(a+b+c+d).

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