simplifying an expression

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sage_user47
5 ●1

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!

1 Answer

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2429 ●1 ●22 ●55

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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Last updated: May 03 '17