已知2x-y=4,求4x2-4xy+y2-2x+y-6的值.

问题描述:

已知2x-y=4,求4x2-4xy+y2-2x+y-6的值.

∵2x-y=4,
∴4x2-4xy+y2-2x+y-6
=(4x2-4xy+y2)-(2x-y)-6
=(2x-y)2-(2x-y)-6
=16-4-6
=6.