So you want to know if a specific mathematical expression (like $(x-1)^2 - (x^2-2x))$ is a constant. Just check whether its derivative is zero:
sage: var('C, C2')
sage: diff(((x-1)^2+C) - (x^2-2*x+C2), x)
0
sage: bool(diff(((x-1)^2+C) - (x^2-2*x+C2), x) == 0)
True
I know there is none. But I want to make one if possible at all. Probably you will like the expression with different "C"
$(x-1)^2+C_1$ and $x^2-2x+C_2$
For any value of $C_1$ there is a value of $C_2$ that makes the two equations equal. Anyone else have any idea?
There is no such function, because they're not equal. Perhaps the second expression should be x^2-2x+1+C...
What have you tried? Here are two options:
sage: var('C')
sage: expand(((x-1)^2+C) - (x^2-2*x+1+C))
0
sage: bool(expand((x-1)^2+C) == expand(x^2-2*x+1+C))
True
Asked: 2010-11-17 12:39:32 +0200
Seen: 2,848 times
Last updated: Nov 17 '10
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