X(X+Y)(X+Y)-X(X+Y)² 其中X+Y=1,XY=二分之一(1-2²分之1)X(1-3²分之1)x.X(1-9²分之1)X(1-10²分之1)
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/02 06:56:17
![X(X+Y)(X+Y)-X(X+Y)² 其中X+Y=1,XY=二分之一(1-2²分之1)X(1-3²分之1)x.X(1-9²分之1)X(1-10²分之1)](/uploads/image/z/3754877-5-7.jpg?t=X%28X%2BY%29%28X%2BY%29-X%28X%2BY%29%26%23178%3B+%E5%85%B6%E4%B8%ADX%2BY%3D1%2CXY%3D%E4%BA%8C%E5%88%86%E4%B9%8B%E4%B8%80%281-2%26%23178%3B%E5%88%86%E4%B9%8B1%29X%281-3%26%23178%3B%E5%88%86%E4%B9%8B1%29x.X%EF%BC%881-9%26%23178%3B%E5%88%86%E4%B9%8B1%EF%BC%89X%EF%BC%881-10%26%23178%3B%E5%88%86%E4%B9%8B1%EF%BC%89)
X(X+Y)(X+Y)-X(X+Y)² 其中X+Y=1,XY=二分之一(1-2²分之1)X(1-3²分之1)x.X(1-9²分之1)X(1-10²分之1)
X(X+Y)(X+Y)-X(X+Y)² 其中X+Y=1,XY=二分之一
(1-2²分之1)X(1-3²分之1)x.X(1-9²分之1)X(1-10²分之1)
X(X+Y)(X+Y)-X(X+Y)² 其中X+Y=1,XY=二分之一(1-2²分之1)X(1-3²分之1)x.X(1-9²分之1)X(1-10²分之1)
X(X+Y)(X+Y)-X(X+Y)² =X-X=0(原题可能有误,请审核)
(1-2²分之1)X(1-3²分之1)x.X(1-9²分之1)X(1-10²分之1)
=(1-1/2)(1+1/2)(1-1/3)(1+1/3)(1-1/4)(1+1/4)...(1-1/9)(1+1/9)(1-1/10)(1+1/10)
=1/2×3/2×2/3×4/3×3/4×5/4×...×8/9×10/9×9/10×11/10
=1/2×11/10
=11/20