2(x-2y)二次方+4(2y-x)-(x-2y)二次方+3(x-2y),其中x=负二分之一,y=二分之一

问题描述:

2(x-2y)二次方+4(2y-x)-(x-2y)二次方+3(x-2y),其中x=负二分之一,y=二分之一
化简求值

2(x-2y)二次方+4(2y-x)-(x-2y)二次方+3(x-2y),
=2(x-2y)²-4(x-2y)-(x-2y)²+3(x-2y)
=(x-2y)²-(x-2y)
=(-1/2+1)²-(-1/2+1)
=1/4-1/2
=-1/4错了吧,我觉得应该是2(x-2y)二次方+4(2y-x)-(x-2y)二次方+3(x-2y),=2(x-2y)²+4(x-2y)-(x-2y)²+3(x-2y)=2(x-2y)²-(x-2y)²+4(x-2y)+3(x-2y)=(x-2y)²+7(x-2y)=(-1/2-1)²+7*(-1/2-1)=9/4-7/2=-5/44(2y-x)=4[-(x-2y)]=-4(x-2y)(2y-x)²=[-(x-2y)]²=(x-2y)²