1.已知（x+y)^2-2x-2y+.1.已知[（x+y)^2]-2x-2y+a=0,则(x+y)^999=.2.若3(x^3)-k(x^2)+4被3x-1除后余3,则k的值为.

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1.已知（x+y)^2-2x-2y+.1.已知[（x+y)^2]-2x-2y+a=0,则(x+y)^999=______.2.若3(x^3)-k(x^2)+4被3x-1除后余3,则k的值为______.
1.已知（x+y)^2-2x-2y+.
1.已知[（x+y)^2]-2x-2y+a=0,则(x+y)^999=______.
2.若3(x^3)-k(x^2)+4被3x-1除后余3,则k的值为______.

1.已知（x+y)^2-2x-2y+.1.已知[（x+y)^2]-2x-2y+a=0,则(x+y)^999=______.2.若3(x^3)-k(x^2)+4被3x-1除后余3,则k的值为______.
1,题目少条件,a为非负数
[（x+y)^2]-2x-2y+a=0
x^2+y^2+2xy-2x-2y+a=0
(x^2+y^2+2xy-2x-2y+1)+a-1=0
(x+y-1)^2+a-1=0
所以a-1=0,x+y-1=0
所以x+y=1,(x+y)^999=1
2,
3(x^3)-k(x^2)+4
=3(x^3)-x^2-(k-1)(x^2)+(k-1)/3*x-(k-1)/3*x+1+3
所以(k-1)/3=3时,3(x^3)-x^2-(k-1)(x^2)+(k-1)/3*x-(k-1)/3*x+1可以被3x-1整除,所以原式被3x-1除后余3
所以k=10

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