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simplifying a symbolic expression

asked 2020-06-04 01:01:15 -0500

iozen gravatar image

updated 2020-06-04 01:53:01 -0500

FrédéricC gravatar image

Hi I am really tired of not being able to see that sage says the following expression is zero. Instead it returns the same expression. Please help how to make sure that I get 0 for the calculation. Thank you.

q= var('q',domain='positive');

n= var('n',domain='positive');

k= var('k',domain='positive');

x= var('x',domain='positive');

(((q - 1)*x + 1)^n*q^n - ((q^2 - q)*x + q)^n).simplify_full()

((q - 1)*x + 1)^n*q^n - ((q^2 - q)*x + q)^n
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answered 2020-06-04 03:42:09 -0500

Emmanuel Charpentier gravatar image

Well...

sage: var("q,n,k,x", domain="positive")
(q, n, k, x)
sage: (((q - 1)*x + 1)^n*q^n - ((q^2 - q)*x + q)^n).canonicalize_radical()
0

The canonicalize_radical method is often relevant for symbolic expressions involving powers or radicals. Note however that this method may not be always legitimate (see its docs...).

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Thank you very much Emmanuel Carpentier. I tried this in the main problem (the above version was the simplified version) it works like a charm.

iozen gravatar imageiozen ( 2020-06-04 04:05:03 -0500 )edit

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Asked: 2020-06-04 01:01:15 -0500

Seen: 61 times

Last updated: Jun 04