作业帮[(x-2y)²+（x+2y)(x-2y)-2x(2X-y)]/2X 求化简
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/06 05:08:40
![[(x-2y)²+（x+2y)(x-2y)-2x(2X-y)]/2X 求化简](/uploads/image/z/4335144-24-4.jpg?t=%5B%28x-2y%29%26%23178%3B%2B%EF%BC%88x%2B2y%29%28x-2y%29-2x%282X-y%29%5D%2F2X+%E6%B1%82%E5%8C%96%E7%AE%80)
[(x-2y)²+（x+2y)(x-2y)-2x(2X-y)]/2X 求化简
[(x-2y)²+（x+2y)(x-2y)-2x(2X-y)]/2X 求化简
[(x-2y)²+（x+2y)(x-2y)-2x(2X-y)]/2X 求化简
[(x-2y)²+（x+2y)(x-2y)-2x(2X-y)]/2X
=[(x-2y)(x-2y+x+2y)-2x(2X-y)]/2X
=[(x-2y)(2x)-2x(2X-y)]/2X
=[(x-2y-2x+y)(2x)]/2X
=-x-y
就是乘法分配律 ab+cb=（a+c）*b
展开即可 原式=（-2x*2-2xy）/2X=-X-Y
[(x-2y)²+（x+2y)(x-2y)-2x(2X-y)]/2X
=[(x-2y)(x-2y+x+2y)-2x(2X-y)]/2X
=[2x(x-2y)-2x(2X-y)]/2X
=x-2y-(2x-y)
=-x-y