2x/(x²-4)-1/(x-2)
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/29 22:56:00
![2x/(x²-4)-1/(x-2)](/uploads/image/z/10188803-11-3.jpg?t=2x%2F%28x%26%23178%3B-4%29-1%2F%28x-2%29)
2x/(x²-4)-1/(x-2)
2x/(x²-4)-1/(x-2)
2x/(x²-4)-1/(x-2)
原式=2x/(x+2)(x-2)-(x+2)/(x+2)(x-2)
=[2x-(x+2)]/(x+2)(x-2)
=(x-2)/(x+2)(x-2)
=1/(x+2)
2x/(x²-4)-1/(x-2)
=2x/(x^2-4)-(x+2)/(x^2-4)
=(2x-x-2)/(x^2-4)
=(x-2)/[(x+2)(x-2)]
=1/(x+2)