a,b互为相反数,则a(x-2y)-b(2y-x)的值为_.

问题描述:

a,b互为相反数,则a(x-2y)-b(2y-x)的值为______.

因为a,b互为相反数,所以a+b=0,
所以a(x-2y)-b(2y-x)
=a(x-2y)+b(x-2y)
=(a+b)(x-2y)
=0•(x-2y)
=0.