I'm using isympy from a recent anaconda3 installation. I find that factor
is introducing a spurious factor of 0.25.
If I run this:
from sympy import *
a,b,c,d,x,y = symbols('a,b,c,d,x,y')
y = a + 0.25*b**2 + 1.0*b*c*x + 1.0*c**2*x**2
print('factor')
print(factor(y-a))
print('expand')
print(expand(y-a))
print('factor difference')
print(simplify(y-a-factor(y-a)))
print('expand difference')
print(simplify(y-a-expand(y-a)))
then I get this:
factor
1.0*(0.25*b + 0.5*c*x)**2
expand
0.25*b**2 + 1.0*b*c*x + 1.0*c**2*x**2
factor difference
0.1875*b**2 + 0.75*b*c*x + 0.75*c**2*x**2
expand difference
0
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