高中数学-高考试题(北京大学 1932年代数式)

证明题（1932年北京大学）

设x+y+z =0,证明: x³ +y³ +z³ = 3xyz

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高中数学

求4x+49y-28之平方根.

试解方程式 a(x+y)= b(x - y) = xy

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线性代数

Factor the following expressions:x(y - z)³ + y(z -x)³ + z(x - y)³

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若 a² = ab,则a=b 对不对? 为什么?

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北京师范大学代数式

代数式

试将下列繁分数简单之：

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英：If (1-x)n=c0+c1 x+c2 x2+⋯+cn xn, find the value of c0+2c1+3c2+⋯+(n+1) cn.汉：若(1-x)n=c0+c1 x+c2 x2+⋯+cn xn,求c0+2c1+3c2+⋯+(n+1) cn之值.

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分解(x2-2x+5)/(x4-4x3+5x2-4x+4)为最简部分分式.