1,利用非负数性质求出x,y
∵X的二次方-4X+2Y的二次方-4Y+6=0
∴(x^2-4x+4)+2(y^2-y+1)=0
∴(x-2)^2+2(y-1)^2=0
故x=2,y=1
(2X+Y)(2X-Y)-(2X-Y)^2=(2x-y)[2x+y-2x+y]=2y(2x-y)=4xy-2y^2=8-2=6
2,N的二次方+N的二次方(N+1)的二次方+(N+1)的二次方
=N^2[1+(N+1)的二次方]+(N+1)^2
=N^2[N^2+2N+2]+(N+1)^2
=N^4+2N^2(N+1)+(N+1)^2
=(N^2+N+1)^2