作业帮说明等式[(a-b)²＋(a+b)²]²-[(a-b)²-(a+b)²]² =4(a-b)²(a+b)²成
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/06 07:27:50
![说明等式[(a-b)²＋(a+b)²]²-[(a-b)²-(a+b)²]² =4(a-b)²(a+b)²成](/uploads/image/z/12549952-64-2.jpg?t=%E8%AF%B4%E6%98%8E%E7%AD%89%E5%BC%8F%5B%28a-b%29%26%23178%3B%EF%BC%8B%28a%2Bb%29%26%23178%3B%5D%26%23178%3B-%5B%28a-b%29%26%23178%3B-%28a%2Bb%29%26%23178%3B%5D%26%23178%3B+%3D4%28a-b%29%26%23178%3B%28a%2Bb%29%26%23178%3B%E6%88%90)
说明等式[(a-b)²＋(a+b)²]²-[(a-b)²-(a+b)²]² =4(a-b)²(a+b)²成
说明等式[(a-b)²＋(a+b)²]²-[(a-b)²-(a+b)²]² =4(a-b)²(a+b)²成
说明等式[(a-b)²＋(a+b)²]²-[(a-b)²-(a+b)²]² =4(a-b)²(a+b)²成
[(a-b)²＋(a+b)²]²-[(a-b)²-(a+b)²]²
={[(a-b)²＋(a+b)²]-[(a-b)²-(a+b)²]}{[(a-b)²＋(a+b)²]+[(a-b)²-(a+b)²]}
=[(a-b)²＋(a+b)²-(a-b)²+(a+b)²][(a-b)²＋(a+b)²+(a-b)²-(a+b)²]
=2(a+b)²*2(a-b)²
=4(a-b)²(a+b)²
所以[(a-b)²＋(a+b)²]²-[(a-b)²-(a+b)²]² =4(a-b)²(a+b)²成立