因式分解9(a+b)²-(a-b)²
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:2024/07/05 02:27:39
因式分解9(a+b)²-(a-b)²
![因式分解9(a+b)²-(a-b)²](/uploads/image/z/414435-3-5.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A39%28a%2Bb%29%26%23178%3B-%28a-b%29%26%23178%3B)
原式=[3(a+b)+(a-b)][3(a+b)-(a-b)]
=(3a+3b+a-b)(3a+3b-a+b)
=(4a+2b)(2a+4b)
=4(2a+b)(a+2b)
=(3a+3b+a-b)(3a+3b-a+b)
=(4a+2b)(2a+4b)
=4(2a+b)(a+2b)