解答
展开 (T−b)⋅(T−c)⋅(T−d)⋅(T−e)⋅(T−f)
解答
T5−T4f−eT4+eT3f−T4d+T3df+eT3d−eT2df−T4c+T3cf+eT3c−eT2cf+T3cd−T2cdf−eT2cd+eTcdf−T4b+T3bf+eT3b−eT2bf+T3bd−T2bdf−eT2bd+eTbdf+T3bc−T2bcf−eT2bc+eTbcf−T2bcd+Tbcdf+eTbcd−ebcdf
求解步骤
(T−b)(T−c)(T−d)(T−e)(T−f)
乘开 (T−b)(T−c):T2−Tc−Tb+bc
=(T2−Tc−Tb+bc)(T−d)(T−e)(T−f)
乘开 (T2−Tc−Tb+bc)(T−d):T3−T2d−T2c+Tcd−T2b+Tbd+Tbc−bcd
=(T3−T2d−T2c+Tcd−T2b+Tbd+Tbc−bcd)(T−e)(T−f)
乘开 (T3−T2d−T2c+Tcd−T2b+Tbd+Tbc−bcd)(T−e):T4−eT3−T3d+eT2d−T3c+eT2c+T2cd−eTcd−T3b+eT2b+T2bd−eTbd+T2bc−eTbc−Tbcd+ebcd
=(T4−eT3−T3d+eT2d−T3c+eT2c+T2cd−eTcd−T3b+eT2b+T2bd−eTbd+T2bc−eTbc−Tbcd+ebcd)(T−f)
乘开 (T4−eT3−T3d+eT2d−T3c+eT2c+T2cd−eTcd−T3b+eT2b+T2bd−eTbd+T2bc−eTbc−Tbcd+ebcd)(T−f):T5−T4f−eT4+eT3f−T4d+T3df+eT3d−eT2df−T4c+T3cf+eT3c−eT2cf+T3cd−T2cdf−eT2cd+eTcdf−T4b+T3bf+eT3b−eT2bf+T3bd−T2bdf−eT2bd+eTbdf+T3bc−T2bcf−eT2bc+eTbcf−T2bcd+Tbcdf+eTbcd−ebcdf
=T5−T4f−eT4+eT3f−T4d+T3df+eT3d−eT2df−T4c+T3cf+eT3c−eT2cf+T3cd−T2cdf−eT2cd+eTcdf−T4b+T3bf+eT3b−eT2bf+T3bd−T2bdf−eT2bd+eTbdf+T3bc−T2bcf−eT2bc+eTbcf−T2bcd+Tbcdf+eTbcd−ebcdf