因式分解36a²-(a²+9)² 49(x-y)²-25(x+y)²

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/25 17:45:02
因式分解36a²-(a²+9)²49(x-y)²-25(x+y)²因式分解36a²-(a²+9)²49(x-y)

因式分解36a²-(a²+9)² 49(x-y)²-25(x+y)²
因式分解36a²-(a²+9)² 49(x-y)²-25(x+y)²

因式分解36a²-(a²+9)² 49(x-y)²-25(x+y)²
36a^2-(a^2+9)^2
=(6a-a^2-9)(6a+a^2+9)
=-(a-3)^2(a+3)^2
49(x-y)^2-25(x+y)^2
=(7x-7y-5x-5y)(7x-7y+5x+5y)
=(2x-12y)(12x-2y)
=4(x-6y)(6x-y)