若x、y互为相反数,则x+2x+3x+...100x+100y+99y+98y+...+y

问题描述:

若x、y互为相反数,则x+2x+3x+...100x+100y+99y+98y+...+y

即x+y=0
所以原式=(x+y)+2(x+y)+……+99(x+y)+100(x+y)
=0+0+……+0+0
=0