通分:(a-1)/(a²+2a+1),6/(a²-1)

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通分:(a-1)/(a²+2a+1),6/(a²-1)
通分:(a-1)/(a²+2a+1),6/(a²-1)

通分:(a-1)/(a²+2a+1),6/(a²-1)
a²+2a+1=(a+1)²
a²-1=(a+1)(a-1)
最简公分母是(a+1)²(a-1)
所以
(a-1)/(a²+2a+1)=(a-1)²/(a+1)²(a-1)
6/(a²-1)=6(a+1)/(a+1)²(a-1)

(a-1)/(a²+2a+1)
=(a-1)/(a+1)²
=(a-1)²/(a-1)(a+1)²
6/(a²-1)
=6/(a-1)(a+1)
=6(a-1)/(a-1)(a+1)²

a²+2a+1=(a+1)²
a²-1=(a+1)(a-1)
∴它们的最简公分母是(a+1)²(a-1)
(a-1)/(a²+2a+1)=(a-1)/(a+1)²=(a-1)²/(a+1)²(a-1)
6/(a²-1)=6/(a+1)(a-1)=6(a+1)/(a+1)²(a-1)