通分a/a^2+2a+1,2/3a+6

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通分a/a^2+2a+1,2/3a+6
通分a/a^2+2a+1,2/3a+6

通分a/a^2+2a+1,2/3a+6
a/a^2+2a+1
=a/(a+1)²
=3a(a+2)/3(a+1)²(a+2)
2/3a+6
=2/3(a+2)
=2(a+1)²/3(a+1)²(a+2)


最简公分母为
3(a+1)²(a+2)
所以
a/(a^2+2a+1)
=a*3(a+2) /[3(a+1)²(a+2)]
=(3a²+6a) /[3(a+1)²(a+2)]

2/3a+6
=2(a+1)²/[3(a+1)²(a+2)]
=(2a²+4a+2) /[3(a+1)²(a+2)]