提公因式法因式分解:3(y-x)²+2(x-y)
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/06 16:29:03
![提公因式法因式分解:3(y-x)²+2(x-y)](/uploads/image/z/744931-19-1.jpg?t=%E6%8F%90%E5%85%AC%E5%9B%A0%E5%BC%8F%E6%B3%95%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%EF%BC%9A3%EF%BC%88y-x%EF%BC%89%26%23178%3B%2B2%EF%BC%88x-y%EF%BC%89)
提公因式法因式分解:3(y-x)²+2(x-y)
提公因式法因式分解:3(y-x)²+2(x-y)
提公因式法因式分解:3(y-x)²+2(x-y)
3(y-x)²+2(x-y)
=3(x-y)²+2(x-y)
=(x-y)[3(x-y)+2]
=(x-y)(3x-3y+2)
原式=3(x-y)²+2(x-y)
=(x-y)[3(x-y)+2]
=(x-y)(3x-3y+2)
3(y-x)²+2(x-y)
=(3x-3y+2)(x-y)