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(x-y)(y+x) (x-y)(-x-y) (-y-x)(x+y) (y-x)(-x-y)
(x-y)(-x+y) (x-y)(y-x) (x-y)(-y+x) (x-y)(x+y)
(x+y)(y+x) (x+y)(y-x) (x+y)(-y-x) (-x+y)(y-x)
3(x+y2)(x-y2) 3(x+y2)(x+y)(x-y) 3(x-y2)2 3(x-y)2(x+y)2
(x-y)(x+y) (-x-y)(-x+y) (x+y)(-x+y) (x-y)(y-x)
ab(a-b)-a(b-a)=-a(b-a)(b+1); 6(m+n)2-2(m+n)=(2m+n)(3m+n+1) 3(y-x)2+2(x-y)=(y-x)(3y-3x+2); 3x(x+y)2-(x+y)=(x+y)2(2x+y)
(x+y)2·(x-y)2 (x+y)2(-x-y) (x+y)2+2(x+y)2 (x-y)2(-x-y)
cov(X+Y,X)=0. cov(X+Y,Y)=0. cov(X+Y,X-Y)=0. cov(X-Y,X)=0.
x=x+y y=y+x x=x+y x=x+y y=x-y x=x-y x=x+y y=y-x x=x-y x=x-y y=x-y x=y-x
Cov(X+Y,X)=0 Cov(X+Y,Y)=0 Cov(X+Y,X-Y)=0 Cov(X-Y,X)=0
ab(a-b)-a(b-a)=-a(b-a)(b+1) 6(m+n)2-2(m+n)=(2m+n)(3m+n+1) 3(y-x)2+2(x-y)=(y-x)(3y-3x+2) 3x(x+y)2-(x+y)=(x+y)2(2x+y)
)x+y<0 ( )x+y>0 ( )x-y<0 ( )x-y>0
X与Y独立 D(Y)=0 D(X)·D(Y)=0 X与Y不相关
-(x-y)=x-y -(x+y)=x-y -(y-x)=x-y -(-x-y)=x-y
10<X+Y<100 And X-Y<0 X+Y>10 And X+Y<100 And X-Y<0 X+Y>10 And X+Y<100 Or X-Y<O X+Y>10 Or X+Y<100 Or X-Y<0