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成立的理由
来源：学生作业帮助网 编辑：作业帮 时间：2024/08/15 10:14:28
![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成立的理由](/uploads/image/z/11952182-38-2.jpg?t=%E8%AF%B4%E6%98%8E%E7%AD%89%E5%BC%8F%5B%28a-b%29%26%23178%3B%2B%28a%2Bb%29%26%23178%3B%5D%26%23178%3B-%5B%EF%BC%88a-b%EF%BC%89%26%23178%3B-%EF%BC%88a%2Bb%EF%BC%89%26%23178%3B%5D%26%23178%3B%3D4%EF%BC%88a-b%EF%BC%89%26%23178%3B%EF%BC%88a%2Bb%EF%BC%89%26%23178%3B%E6%88%90%E7%AB%8B%E7%9A%84%E7%90%86%E7%94%B1)
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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成立的理由
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成立的理由
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成立的理由
左边={[(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=右边