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其他
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证明(a^3+2a)/(a^4+3a^2+1)是最简分式
好象用什么辗转相除法,
求最大公因数是什么道理呢,,,
人气:233 ℃ 时间:2020-06-03 22:49:01
解答
a^4+3a^2+1=(a^3+2a)a+a^2+1
a^3+2a=(a^2+1)a+a
a^2+1=a*a+1
a=1*a
所以(a^3+2a,a^4+3a^2+1)=1
跟求最大公因数一样的道理
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