Python Coding challenge - Day 392| What is the output of the following Python Code?

 

Step-by-Step Breakdown:

symbols('x')

This creates a symbolic variable x using the SymPy library.

Unlike regular Python variables, x now behaves as a mathematical symbol.

Expression Definition

expr = (x + 1) * (x - 1)

This is the difference of squares formula:

(a+b)(a−b)=a*−b*

 

Substituting 

a=x and 

b=1, we get:

(x+1)(x−1)=x *−1

Expanding the Expression (expand(expr))

The expand() function multiplies and simplifies the expression:

(x+1)⋅(x−1)=x *−1

So, expand(expr) simplifies it to x**2 - 1.

Output:

x**2 - 1

This confirms that the product of (x + 1) and (x - 1) expands to x² - 1.