回答:
#-1,22x,-220x ^ 2,28160x ^ 9,-11264x ^ 10,2048x ^ 11#
说明:
#(AX + B)^ N = sum_(R = 0)^ N((N),(R))(AX)^ RB ^(NR)= sum_(R = 0)^ N(N!)/( R!(NR)!)(AX)^ ^ RB(NR)#
所以,我们想要 #rin {0,1,2,9,10,11}#
#(11!)/(0(11-0)!)(2×)^ 0(-1)^ 11 = 1(1)( - 1)= - 1#
#(11!)/(1!(11-1)!)(2×)^ 1(-1)^ 10 = 11(2×)(1)= 22倍#
#(!11)/(!2(11-2))(2×)^ 2(-1)^ 9 = 55(4×^ 2)( - 1)= - 220X ^ 2#
#(11!)/(9!(11-9)!)(2×)^ 9(-1)^ 2 = 55(512X ^ 9)(1)= 28160x ^ 9#
#(11!)/(10(11-10)!)(2×)^ 10(-1)^ 1 = 11(1024×^ 10)( - 1)= - 11264x ^ 10#
#(11!)/(11!(11-11)!)(2×)^ 11(-1)^ 0 = 1(2048x ^ 11)(1)= 2048x ^ 11#
这些是增加权力的前3个和后3个项 #X#:
#-1,22x,-220x ^ 2,28160x ^ 9,-11264x ^ 10,2048x ^ 11#