Python | sympy.as_independent() method

With the help of sympy.as_independent() method, we can separate the mathematical expression independently by the variable passed as parameter in the sympy.as_independent() method.

Syntax : sympy.as_independent(variable)

Return : Return a tuple having separated variables in mathematical expression.

Example #1 :
In this example we can see that by using sympy.as_independent() method, we are able to separate the mathematical function on the basis of independent variable which is passed as parameter.

# import sympy
from sympy import *

x, y = symbols('x y')

# Use sympy.as_independent(variable) method
gfg = (1 + 2 * x + 1 / x).as_independent(x)

print(gfg)

Output :

(1, 2*x + 1/x)

Example #2 :

# import sympy
from sympy import *

x, y = symbols('x y')

# Use sympy.as_independent(variable) method
gfg = (1 / y**2 + x).as_independent(y)

print(gfg)

Output :

(x, y**(-2))