
已知x=根号2+1分之根号2+1 y=根号2+1分之根号2-1 求x方-y方
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x^2-y^2=(x-y)*(x+y)
=【根号2/(根号2+1)+1-根号2/(根号2+1)+1】*【根号2/(根号2+1)+1+根号2/(根号2+1)-1】
=2*(2倍根号2/根号2+1)
=4倍根号2*(根号2-1)
=【根号2/(根号2+1)+1-根号2/(根号2+1)+1】*【根号2/(根号2+1)+1+根号2/(根号2+1)-1】
=2*(2倍根号2/根号2+1)
=4倍根号2*(根号2-1)
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