因式分解:1、-4ab-4a²-b² 2、3ab²+6a²b+3a³ 3、49(2a-3b)²-9(a-b)²
来源:学生作业帮助网 编辑:作业帮 时间:2024/08/04 09:33:56
![因式分解:1、-4ab-4a²-b² 2、3ab²+6a²b+3a³ 3、49(2a-3b)²-9(a-b)²](/uploads/image/z/1024301-29-1.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%EF%BC%9A1%E3%80%81-4ab-4a%26%23178%3B-b%26%23178%3B+2%E3%80%813ab%26%23178%3B%2B6a%26%23178%3Bb%2B3a%26%23179%3B+3%E3%80%8149%282a-3b%29%26%23178%3B-9%28a-b%29%26%23178%3B)
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因式分解:1、-4ab-4a²-b² 2、3ab²+6a²b+3a³ 3、49(2a-3b)²-9(a-b)²
因式分解:1、-4ab-4a²-b² 2、3ab²+6a²b+3a³ 3、49(2a-3b)²-9(a-b)²
因式分解:1、-4ab-4a²-b² 2、3ab²+6a²b+3a³ 3、49(2a-3b)²-9(a-b)²
-4ab-4a²-b² =-(2a+b)²
3ab²+6a²b+3a³ =3a(b²+2ab+a²)=3a(a+b)²
49(2a-3b)²-9(a-b)²=(14a-21b)²-(3a-3b)²=(17a-24b)(11a-18b)
-4ab-4a²-b² =-(2a+b)²
3ab²+6a²b+3a³
=3a(a+b)²
49(2a-3b)²-9(a-b)²
=[7(2a-3b)+3(a-b)][7(2a-3b)-3(a-b)]
=(17a-24b)(11a-18b)