How to find all terms in an expression in Sympy

Question

I have an expression as: 1/(x+1)+4*x/(x-1)+3-4*x**2+10*x**2

What I need is a list that contain the terms in this expression.
i.e. [1/(x+1), 4*x/(x-1), 3, -4*x**2 , 10*x**2]

update: It should not collect like terms. Therefore the list should have -4*x** 2 and 10*x** 2 separately and not 6*x**2 after collecting like terms.

Answer 1

Based on the question and comments, if you can get the expression as a string, you can do something like this if you want to avoid term collection.

(sympify("1/(x+1)+4*x/(x-1)+3-4*x**2+10*x**2", evaluate=False)).args

this will return all the terms without collecting like terms.

Answer 2

The right way to do this is Add.make_args. This is the same things as expr.args from Bjoern's answer, except if the expression is not an Add (a single term), it still gives that term, instead of traversing into that expression.

In [20]: expr = 1/(x+1)+4*x/(x-1)+3-4*x**2

In [21]: print(Add.make_args(expr))
(3, 1/(x + 1), -4*x**2, 4*x/(x - 1))

Answer 3

In this case it is very easy:

>>> expr = 1/(x+1)+4*x/(x-1)+3-4*x**2
>>> expr.args
⎛     1        2   4⋅x ⎞
⎜3, ─────, -4⋅x , ─────⎟
⎝   x + 1         x - 1⎠