作业帮已知x²-y²=10,求[(x+y)的三次方-2y(x+y)²-4(x+y)]÷(x+y)的值
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/01 04:35:14
![已知x²-y²=10,求[(x+y)的三次方-2y(x+y)²-4(x+y)]÷(x+y)的值](/uploads/image/z/2523757-13-7.jpg?t=%E5%B7%B2%E7%9F%A5x%26%23178%3B-y%26%23178%3B%3D10%2C%E6%B1%82%5B%28x%2By%29%E7%9A%84%E4%B8%89%E6%AC%A1%E6%96%B9-2y%28x%2By%29%26%23178%3B-4%28x%2By%29%5D%C3%B7%28x%2By%29%E7%9A%84%E5%80%BC)
已知x²-y²=10,求[(x+y)的三次方-2y(x+y)²-4(x+y)]÷(x+y)的值
已知x²-y²=10,求[(x+y)的三次方-2y(x+y)²-4(x+y)]÷(x+y)的值
已知x²-y²=10,求[(x+y)的三次方-2y(x+y)²-4(x+y)]÷(x+y)的值
已知x²-y²=10,求[(x+y)的三次方-2y(x+y)²-4(x+y)]÷(x+y)的值
[(x+y)³-2y(x+y)²-4(x+y)]÷(x+y)
=﹙x+y﹚[﹙x+y﹚²-2y﹙x+y﹚-4]÷﹙x+y﹚
=﹙x+y﹚²-2y﹙x+y﹚-4
=﹙x+y﹚[﹙x+y﹚-2y]-4
=﹙x+y﹚﹙x-y﹚-4
=x²-y²-4
=10-4
=6
