(4a²+4a)(4a²+4a-2)-3 ,因式分解
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/06/17 06:52:47
(4a²+4a)(4a²+4a-2)-3 ,因式分解
![(4a²+4a)(4a²+4a-2)-3 ,因式分解](/uploads/image/z/13327030-46-0.jpg?t=%284a%26%23178%3B%2B4a%29%284a%26%23178%3B%2B4a-2%29-3+%2C%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3)
令4a²+4a=b
则原式=b(b-2)-3
=b²-2b-3
=(b+1)(b-3)
=(4a²+4a+1)(4a²+4a-3)
=(2a+1)²(2a+3)(2a-1)
则原式=b(b-2)-3
=b²-2b-3
=(b+1)(b-3)
=(4a²+4a+1)(4a²+4a-3)
=(2a+1)²(2a+3)(2a-1)