(c²-a²-b²)²-4a²b²因式分解
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/28 04:24:01
![(c²-a²-b²)²-4a²b²因式分解](/uploads/image/z/469764-36-4.jpg?t=%28c%26%23178%3B-a%26%23178%3B-b%26%23178%3B%29%26%23178%3B-4a%26%23178%3Bb%26%23178%3B%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3)
(c²-a²-b²)²-4a²b²因式分解
(c²-a²-b²)²-4a²b²因式分解
(c²-a²-b²)²-4a²b²因式分解
(c²-a²-b²)²-4a²b²
=(c²-a²-b²)²-(2ab)²
=(c²-a²-b²+2ab)(c²-a²-b²-2ab)
=[c²-(a²-2ab+b²)][c²-(a²+2ab+b²)]
=[c²-(a-b)²][c²-(a+b)²]
=(c+a-b)(c-a+b)(c+a+b)(c-a-b)