(a²+b²/a²-b²-a-b/a+b)÷2ab/(a-b)(a+b)² 化简
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/25 03:49:05
![(a²+b²/a²-b²-a-b/a+b)÷2ab/(a-b)(a+b)² 化简](/uploads/image/z/4331372-68-2.jpg?t=%28a%26%23178%3B%2Bb%26%23178%3B%2Fa%26%23178%3B-b%26%23178%3B-a-b%2Fa%2Bb%29%C3%B72ab%2F%28a-b%29%28a%2Bb%29%26%23178%3B+%E5%8C%96%E7%AE%80)
(a²+b²/a²-b²-a-b/a+b)÷2ab/(a-b)(a+b)² 化简
(a²+b²/a²-b²-a-b/a+b)÷2ab/(a-b)(a+b)² 化简
(a²+b²/a²-b²-a-b/a+b)÷2ab/(a-b)(a+b)² 化简
(a²+b²/a²-b²-a-b/a+b)÷2ab/(a-b)(a+b)²
=[(a²+b²)/(a+b)-(a-b)/(a+b)] x(a-b)(a+b)²/2ab
=(a²+b²)(a+b)/2ab-(a-b)²(a+b)/2ab
=[(a²+b²)-(a-b)²](a+b)/2ab
=(a²+b²-a²+2ab-b²)(a+b)/2ab
=2ab(a+b)/2ab
=a+b