化简:(a+2b/a+b)+(2b²/a²-b²)
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/27 21:07:42
![化简:(a+2b/a+b)+(2b²/a²-b²)](/uploads/image/z/983577-57-7.jpg?t=%E5%8C%96%E7%AE%80%EF%BC%9A%28a%2B2b%2Fa%2Bb%29%2B%282b%26%23178%3B%2Fa%26%23178%3B-b%26%23178%3B%29)
化简:(a+2b/a+b)+(2b²/a²-b²)
化简:(a+2b/a+b)+(2b²/a²-b²)
化简:(a+2b/a+b)+(2b²/a²-b²)
原式=[(a+2b)(a-b)]/[(a+b)(a-b)]+[2b²/(a+b)(a-b)]
=[(a+2b)(a-b)+2b²]/[(a+b)(a-b)]
=(a²+ab-2b²+2b²)/[(a+b)(a-b)]
=[a(a+b)]/[(a+b)(a-b)]
=a/(a-b)