化简求值:(x+1)²-(x-1)(x²+x+1),其中x=根号2
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![化简求值:(x+1)²-(x-1)(x²+x+1),其中x=根号2](/uploads/image/z/7101072-0-2.jpg?t=%E5%8C%96%E7%AE%80%E6%B1%82%E5%80%BC%EF%BC%9A%EF%BC%88x%2B1%EF%BC%89%26%23178%3B-%28x-1%29%28x%26%23178%3B%2Bx%2B1%29%2C%E5%85%B6%E4%B8%ADx%3D%E6%A0%B9%E5%8F%B72)
化简求值:(x+1)²-(x-1)(x²+x+1),其中x=根号2
化简求值:(x+1)²-(x-1)(x²+x+1),其中x=根号2
化简求值:(x+1)²-(x-1)(x²+x+1),其中x=根号2
原式=(x+1)平方-(x-1)(x+1)平方
= (x+1)平方x(1-x+1)
把x=根号2带入
= (根号2+1)平方x (2-根号2)
= (3+2根号2)x(2-根号2)
= 6-3根号2+4根号2-4
=2+根号2
答:式子的解为2+根号2.