化简:1/(a+1)×a/(a²+2a+1)

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化简:1/(a+1)×a/(a²+2a+1)

1/(a+1)×a/(a²+2a+1)=a/[(a+1)×(a+1)²]=a/(a+1)³;

1/(a+1)×a/(a²+2a+1)
=(a²+2a+1)/【1/(a+1)×a】
=(a+1)²/【1/(a+1)×a】
=(a+1)/a
=1+1/a