分解因式 (1)x三次方+x²y-xy²-y三次方(2)a²-a(3)x四次方-1(4)(x+2)(x+4)+x²-4最好有过程哦 谢谢
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/24 17:28:46
![分解因式 (1)x三次方+x²y-xy²-y三次方(2)a²-a(3)x四次方-1(4)(x+2)(x+4)+x²-4最好有过程哦 谢谢](/uploads/image/z/2523783-39-3.jpg?t=%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F+%281%29x%E4%B8%89%E6%AC%A1%E6%96%B9%2Bx%26%23178%3By-xy%26%23178%3B-y%E4%B8%89%E6%AC%A1%E6%96%B9%282%29a%26%23178%3B-a%283%29x%E5%9B%9B%E6%AC%A1%E6%96%B9-1%284%29%28x%2B2%29%28x%2B4%29%2Bx%26%23178%3B-4%E6%9C%80%E5%A5%BD%E6%9C%89%E8%BF%87%E7%A8%8B%E5%93%A6++%E8%B0%A2%E8%B0%A2)
分解因式 (1)x三次方+x²y-xy²-y三次方(2)a²-a(3)x四次方-1(4)(x+2)(x+4)+x²-4最好有过程哦 谢谢
分解因式 (1)x三次方+x²y-xy²-y三次方(2)a²-a(3)x四次方-1(4)(x+2)(x+4)+x²-4
最好有过程哦 谢谢
分解因式 (1)x三次方+x²y-xy²-y三次方(2)a²-a(3)x四次方-1(4)(x+2)(x+4)+x²-4最好有过程哦 谢谢
(1)x三次方+x²y-xy²-y三次方
=x²(x+y)-y²(x+y)
=(x+y)(x²-y²)
=(x+y)²(x-y)
(2)a²-a=a(a-1)
(3)x四次方-1
=(x²+1)(x²-1)
=(x²+1)(x+1)(x-1)
(4)(x+2)(x+4)+x²-4
=(x+2)(x+4)+(x+2)(x-2)
=(x+2)(x+4+x-2)
=2(x+2)