因式分解:1.a²(b-1)+(1-b) 2.2x²y-x三次方-xy² 3.x²-2xy-3y²因式分解:1.a²(b-1)+(1-b) 2.2x²y-x三次方-xy² 3.x²-2xy-3y² 4.4a-2a²-2
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/27 18:55:19
![因式分解:1.a²(b-1)+(1-b) 2.2x²y-x三次方-xy² 3.x²-2xy-3y²因式分解:1.a²(b-1)+(1-b) 2.2x²y-x三次方-xy² 3.x²-2xy-3y² 4.4a-2a²-2](/uploads/image/z/1073175-15-5.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%EF%BC%9A1.a%26%23178%3B%EF%BC%88b-1%29%2B%281-b%29+2.2x%26%23178%3By-x%E4%B8%89%E6%AC%A1%E6%96%B9-xy%26%23178%3B+3.x%26%23178%3B-2xy-3y%26%23178%3B%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%EF%BC%9A1.a%26%23178%3B%EF%BC%88b-1%29%2B%281-b%29+2.2x%26%23178%3By-x%E4%B8%89%E6%AC%A1%E6%96%B9-xy%26%23178%3B+3.x%26%23178%3B-2xy-3y%26%23178%3B+4.4a-2a%26%23178%3B-2)
因式分解:1.a²(b-1)+(1-b) 2.2x²y-x三次方-xy² 3.x²-2xy-3y²因式分解:1.a²(b-1)+(1-b) 2.2x²y-x三次方-xy² 3.x²-2xy-3y² 4.4a-2a²-2
因式分解:1.a²(b-1)+(1-b) 2.2x²y-x三次方-xy² 3.x²-2xy-3y²
因式分解:1.a²(b-1)+(1-b) 2.2x²y-x三次方-xy² 3.x²-2xy-3y² 4.4a-2a²-2
因式分解:1.a²(b-1)+(1-b) 2.2x²y-x三次方-xy² 3.x²-2xy-3y²因式分解:1.a²(b-1)+(1-b) 2.2x²y-x三次方-xy² 3.x²-2xy-3y² 4.4a-2a²-2
1.a²(b-1)+(1-b) =﹙b-1﹚﹙a²-1﹚=﹙b-1﹚﹙a+1﹚﹙a-1﹚
2.2x²y-x三次方-xy²=-x﹙x²-2xy+y²﹚=﹣x﹙x-y﹚²
3.x²-2xy-3y² =﹙x+y﹚﹙x-3y﹚
4.4a-2a²-2=﹣2﹙a²-2a+1﹚=﹣2﹙a-1﹚²
1、a²(b-1)+(1-b)
=a²(b-1)-(b-1)
=(b-1)(a²-1)
=(b-1)(a+1)(a-1)
2、2x²y-x三次方-xy²
=x(2xy-x²-y²)
...
全部展开
1、a²(b-1)+(1-b)
=a²(b-1)-(b-1)
=(b-1)(a²-1)
=(b-1)(a+1)(a-1)
2、2x²y-x三次方-xy²
=x(2xy-x²-y²)
=-x(x²-2xy+y²)
=-x(x-y)²
3、x²-2xy-3y²
=x²-2xy+y²-4y²
=(x-y)²-(2y)²
=(x-y+2y)(x-y-2y)
=(x+y)(x-3y)
其实本题直接用十字相乘法更快!
4、 4a-2a²-2
=-(2a²-4a+2)
=-(2a-2)(a-1)
-----------------------
假如我的回答对你有所帮助,请采纳!
收起