2009年七下东阳数学期末试卷答案(x-1)(x+1)=x^2-1;(x-1)(x^2+x+1)=x^3-1;(x-1)(x^3+x^2+x+1)=x^4-1(1)根据上面的规律,得(x-1)(x^(n-1)+x^(n-2)+x^(n-3)+……+x=1)=______(n为正整数)
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![2009年七下东阳数学期末试卷答案(x-1)(x+1)=x^2-1;(x-1)(x^2+x+1)=x^3-1;(x-1)(x^3+x^2+x+1)=x^4-1(1)根据上面的规律,得(x-1)(x^(n-1)+x^(n-2)+x^(n-3)+……+x=1)=______(n为正整数)](/uploads/image/z/10311982-70-2.jpg?t=2009%E5%B9%B4%E4%B8%83%E4%B8%8B%E4%B8%9C%E9%98%B3%E6%95%B0%E5%AD%A6%E6%9C%9F%E6%9C%AB%E8%AF%95%E5%8D%B7%E7%AD%94%E6%A1%88%EF%BC%88x-1%EF%BC%89%EF%BC%88x%2B1%EF%BC%89%3Dx%5E2-1%3B%EF%BC%88x-1%EF%BC%89%EF%BC%88x%5E2%2Bx%2B1%EF%BC%89%3Dx%5E3-1%3B%EF%BC%88x-1%EF%BC%89%EF%BC%88x%5E3%2Bx%5E2%2Bx%2B1%EF%BC%89%3Dx%5E4-1%EF%BC%881%EF%BC%89%E6%A0%B9%E6%8D%AE%E4%B8%8A%E9%9D%A2%E7%9A%84%E8%A7%84%E5%BE%8B%2C%E5%BE%97%EF%BC%88x-1%EF%BC%89%EF%BC%88x%5E%EF%BC%88n-1%EF%BC%89%2Bx%5E%EF%BC%88n-2%EF%BC%89%2Bx%5E%EF%BC%88n-3%EF%BC%89%2B%E2%80%A6%E2%80%A6%2Bx%3D1%EF%BC%89%3D______%EF%BC%88n%E4%B8%BA%E6%AD%A3%E6%95%B4%E6%95%B0%EF%BC%89)
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