Python Coding challenge - Day 791| What is the output of the following Python Code?

 

Code Explanation:

Importing the SymPy Library

import sympy as sp

Explanation:

sympy is a Python library for symbolic mathematics — it can do algebra, calculus, solving equations, and more exactly (not numerically).

Importing it as sp is a common shorthand to make code cleaner.

Creating a Symbolic Variable

x = sp.Symbol('x')

Explanation:

sp.Symbol('x') creates a symbolic variable named x.

This means x is not a number — it’s a symbol that can represent any mathematical variable.

Example:

In normal Python, x = 3 means x holds the number 3.

In SymPy, x = sp.Symbol('x') means x represents the algebraic symbol x.

Defining an Algebraic Expression

expr = x**2 + 2*x + 1

Explanation:

x2+2x+1

Because x is a symbol, SymPy keeps the expression in algebraic form instead of evaluating it numerically.

Internally, expr is a SymPy object representing that polynomial.

Expanding the Expression

print(sp.expand(expr))

Explanation:

sp.expand() is used to expand algebraic expressions — for example, to open brackets like 

Here, the expression x**2 + 2*x + 1 is already expanded, so calling expand() doesn’t change it.

The function still returns the same expression.

Result printed:

x**2 + 2*x + 1

500 Days Python Coding Challenges with Explanation