maths.binomial_expansion

Functions

binomial_expansion(→ int | float)

Compute the value of (a + b)^n using the Binomial Theorem.

Module Contents

maths.binomial_expansion.binomial_expansion(a: float, b: float, n: int) → int | float

Compute the value of (a + b)^n using the Binomial Theorem.

This function works for both positive and negative integer exponents. It raises a ZeroDivisionError if the base (a + b) is 0 and n is negative.

Args:

a: First term (int or float). b: Second term (int or float). n: Exponent (must be integer).

Returns:

The result of the binomial expansion (a + b)^n.

Raises:

ZeroDivisionError: If a + b == 0 and n < 0.

See Also:

https://en.wikipedia.org/wiki/Binomial_theorem

Examples:

>>> binomial_expansion(2, 3, 2)
25
>>> binomial_expansion(100, -4, 3)
884736
>>> binomial_expansion(2, 2, -2)
0.0625
>>> binomial_expansion(0, 0, 3)
0
>>> binomial_expansion(-2, 2, -1)
Traceback (most recent call last):
    ...
ZeroDivisionError: Cannot raise 0 to the negative power