a(a-b)³+2a²(b-a)²-2ab(b-a)因式分解,
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/06 13:11:41
![a(a-b)³+2a²(b-a)²-2ab(b-a)因式分解,](/uploads/image/z/603246-30-6.jpg?t=a%EF%BC%88a%EF%BC%8Db%EF%BC%89%26%23179%3B%2B2a%26%23178%3B%28b-a%29%26%23178%3B-2ab%28b-a%29%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%2C)
a(a-b)³+2a²(b-a)²-2ab(b-a)因式分解,
a(a-b)³+2a²(b-a)²-2ab(b-a)因式分解,
a(a-b)³+2a²(b-a)²-2ab(b-a)因式分解,
原式=a(a-b)^3+2a^2(a-b)^2+2ab(a-b)
=(a-b)【a(a-b)^2+2a^2(a-b)+2ab】
=(a-b)【a(a^2-2ab+b^2)+2a^3-2a^2b+2ab】
=(a-b)(a^3-2a^2b+ab^2+2a^3-2a^2b+2ab)
=(a-b)(3a^3-4a^2b+ab^2+2ab)