分解因式 (x²-XY)²-(XY-Y²)²
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:2024/08/05 09:46:51
分解因式 (x²-XY)²-(XY-Y²)²
![分解因式 (x²-XY)²-(XY-Y²)²](/uploads/image/z/19782823-31-3.jpg?t=%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F+%28x%26%23178%3B-XY%29%26%23178%3B-%28XY-Y%26%23178%3B%29%26%23178%3B)
(x²-XY)²-(XY-Y²)²
=(x²-xy+xy-y²)(x²-xy-xy+y²)
=(x²-y²)(x²-2xy+y²)
=(x+y)(x-y)(x-y)²
=(x+y)(x-y)³
【希望可以帮到你!祝学习快乐!】
=(x²-xy+xy-y²)(x²-xy-xy+y²)
=(x²-y²)(x²-2xy+y²)
=(x+y)(x-y)(x-y)²
=(x+y)(x-y)³
【希望可以帮到你!祝学习快乐!】