作业帮因式分解：[x（x²y²-xy）-y（x²-x³y）]÷3x²y急 十万火急 13:40之前有奖励!
来源：学生作业帮助网 编辑：作业帮 时间：2024/11/02 16:26:48
![因式分解：[x（x²y²-xy）-y（x²-x³y）]÷3x²y急 十万火急 13:40之前有奖励!](/uploads/image/z/468724-4-4.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%EF%BC%9A%5Bx%EF%BC%88x%26%23178%3By%26%23178%3B-xy%EF%BC%89-y%EF%BC%88x%26%23178%3B-x%26%23179%3By%EF%BC%89%5D%C3%B73x%26%23178%3By%E6%80%A5+%E5%8D%81%E4%B8%87%E7%81%AB%E6%80%A5+13%3A40%E4%B9%8B%E5%89%8D%E6%9C%89%E5%A5%96%E5%8A%B1%21)
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因式分解：[x（x²y²-xy）-y（x²-x³y）]÷3x²y急 十万火急 13:40之前有奖励!
因式分解：[x（x²y²-xy）-y（x²-x³y）]÷3x²y
急 十万火急
13:40之前有奖励!
因式分解：[x（x²y²-xy）-y（x²-x³y）]÷3x²y急 十万火急 13:40之前有奖励!
[x（x²y²-xy）-y（x²-x³y）]÷3x²y
=[x²y（xy-1）-x²y（1-xy）]÷3x²y
=x²y[（xy-1）-（1-xy）]÷3x²y
=x²y[2（xy-1）]÷3x²y
=2（xy-1)/3
[x（x²y²-xy）-y（x²-x³y）]÷3x²y
=[x³y²-x²y-yx²＋x³y²]÷3x²y
=[2x³y²-2x²y]÷3x²y
=【2xy-2】/3
原式=[x²y(xy-1)-x²y(1-xy)]÷3x²y
=(xy-1-1+xy)÷3
=(2xy+2)/3
：[x（x²y²-xy）-y（x²-x³y）]÷3x²y
=（x³y²-x²y-x²y+x³y²）÷3x²y
=（2x³y²-2x²y）÷3x²y
=2x²y（xy-1）÷3x²y
=2/3（xy-1）