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Hello,

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

\begin{align} \ 2bf^{2}+f^{2}k-2bf-f^{2}-2fk+b+2f+k-1 \end{align}

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

\begin{align} \ bf^{2}+(f - 1)^{2}(k-1+b) \end{align}

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

Thanks!

I and using sage to convert x^2 + 2*x + 1 to (x + 1)^2 by using the following:

show((y*2 + 2y + 1).simplify_full())

but it does not do anything and returns the expression as it is. How do I make it do it ? Thanks!