b互为相反数则a(x-2y)-b(2y-x)=

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b互为相反数则a(x-2y)-b(2y-x)=
b互为相反数则a(x-2y)-b(2y-x)=

b互为相反数则a(x-2y)-b(2y-x)=
a.b互为相反数
a+b=0
a(x-2y)-b(2y-x)
= a(x-2y)+b(x-2y)
=( a+b)(x-2y)
=0*(x-2y)
=0

0

a(x-2y)-b(2y-x)
=a(x-2y)+b(x-2y)
=(a+b)(x-2y)
=0

有题可知a+b=0
原式=a(x-2y)+b(x-2y)=(a+b)(x-2y)=0