数学题目:x^5-x

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数学题目:x^5-x数学题目:x^5-x数学题目:x^5-xx^5-x=x(x^4-1)=x(x^2+1)(x^2-1)=x(x^2+1)(x+1)(x-1)=x(x^4-1)=x(x^2+1)(x^

数学题目:x^5-x
数学题目:x^5-x

数学题目:x^5-x
x^5-x
=x(x^4-1)
=x(x^2+1)(x^2-1)
=x(x^2+1)(x+1)(x-1)

=x(x^4-1)=x(x^2+1)(x^2-1)=x(x^2+1)(x+1)(x-1)

x^5-x=x(^4-1)
=x(x²-1)(x²+1)
=x(x-1)(x+1)(x²+1)