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simplifying an expression

Hello,

I am trying to simplify a polynomial into smaller subexpressions. The expanded polynomial is:

 2bf2+f2k2bff22fk+b+2f+k1

This expression can be reduced to the following expression [by hand]:

 bf2+(f1)2(k1+b)

How to do I do it in Sage using some combination of collect and factor or by using some other strategy.

Thanks!