若a²-3a=-1 则3a的三次方-9a²+4a+a²+1分之3=?

若a²-3a=-1 则3a的三次方-9a²+4a+a²+1分之3=?
若a²-3a=-1 则3a的三次方-9a²+4a+a²+1分之3=?

若a²-3a=-1 则3a的三次方-9a²+4a+a²+1分之3=?
a²-3a=-1
∴a²+1=3a
a²-3a+1=0
a-3+1/a=0
a+1/a=3
3a³-9a²+4a+3/(a²+1)
=3a(a²-3a)+4a+1/a
=-3a+4a+1/a
=a+1/a
=3

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