x^3+y^3=x-y求证x^2+4y^2〈1不好意思，我掉了个条件，x>0,y>0

设正实数x,y满足x^3+y^3=x-y,求证：x^2+4y^2 (x-y) (x-2y)+(x+2y) (x-3y)-2(x-3y) (x-4y)= 设x＞0y＞0,x≠y,x^2-y^2=x^3-y^3,求证：1＜x+y＜4/3 x大于0,y大于0,x不等于y,且x+y=(x^2)+(y^2)+xy,求证1小于x+y小于4/3 已知,x＞0,y＞0,x≠y,且x+y=x^2+y^2+xy,求证：1小于x+y小于4/3 已知x,y都是正整数,求证x^3+y^3>=x^2y+xy^2 若X,Y是整数,求证:(x+y)(x+2y)(x+3y)(x+4y)+y的四次方是一个完全平方数急 THANKS! 2（x+y)-3(x-y)=3 ,4(x+y)+3(x-y)=15 x+y/2+x-y/3=6,4(x+y)-3(x-y)=-20 {(x+y)/2+(x-y)/3=6 4(x+y)-3(x-y)=-20 4(x+y)-3(x-y)=-20,2/x+y+3/x-y=6 3(x+y)-2(x-y)=11 4(x+y)+3(x-y)=9 {3(x+y)-4(x-y)=4 {x+y/2 + x-y/6=1 3(x+y)+2(x-y)=36 4(x+y)-5(x-y)=2 （x+y）/2- x-y/2=6 3(x+y)=4(x-y) x+y/3+x-y/2=6 4(x+y)-2(x-y)=40 4(x-y)-3(x-y)=9 5(x-y)+2(x-y)=11 3(x+y)-4(x-y)=11,2(x-y)+5(x+y)=27