分解因式(x²-6x+9/x²-9)+(x³-4x²+4x/x²+3x
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/06/24 18:51:14
分解因式(x²-6x+9/x²-9)+(x³-4x²+4x/x²+3x)
快点啊,
快点啊,
![分解因式(x²-6x+9/x²-9)+(x³-4x²+4x/x²+3x](/uploads/image/z/4890194-26-4.jpg?t=%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F%28x%26%23178%3B-6x%2B9%2Fx%26%23178%3B-9%29%2B%28x%26%23179%3B-4x%26%23178%3B%2B4x%2Fx%26%23178%3B%2B3x)
原式=(x-3)²/(x+3)(x-3)+x(x²-4x+4)/x(x+3)
=(x-3)/(x+3)+(x²-4x+4)/(x+3)
=(x-3+x²-4x+4)/(x+3)
=(x²-3x+1)/(x+3)
=(x-3)/(x+3)+(x²-4x+4)/(x+3)
=(x-3+x²-4x+4)/(x+3)
=(x²-3x+1)/(x+3)