证明:(x+y+z)3xyz-(yz+zx+xy)3=xyz(x3+y3+z3)-(y3z3+z3x3+x3y3).
人气:311 ℃ 时间:2019-11-05 20:51:28
解答
证明:∵(x+y+z)3xyz-(yz+zx+xy)3=xyz(x3+y3+z3)-(y3z3+z3x3+x3y3)∴xyz[(x+y+z)3-(x3+y3+z3)]=(yz+zx+xy)3)-(y3z3+z3x3+x3y3)∴xyz[(x3+y3+z3+3x2y+3xy2+3xz2+3y2z+3yz2+6xyz)-(x3+y3+z3)],=...
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