x(x+y)-(x-y)(x+y)-y^2,其中x=(1/4)的2010次方,y=4的2011次方化简并求值
问题描述：
x(x+y)-(x-y)(x+y)-y^2,其中x=(1/4)的2010次方,y=4的2011次方
化简并求值
答
原式=(x+y)(x-x+y)-y^2
=y(x+y)-y^2
=y(x+y-y)
=yx
=4^2011×(1/4)^2010
=(4×1/4)^2010×4
=4