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simplifying an expression

asked 2017-05-02 16:07:50 -0500

sage_user47 gravatar image

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!

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answered 2017-05-02 18:38:37 -0500

ndomes gravatar image

Knowing the outcome you can do:

var('b f k')
expr = 2*b*f^2 + f^2*k - 2*b*f- f^2 - 2*f*k + b+2*f+k - 1
(expr - b*f^2).factor() + b*f^2
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Asked: 2017-05-02 16:07:50 -0500

Seen: 58 times

Last updated: May 02