simplify, expand, and factor rewrite an expression. Print all three on x^2-1.

Goal

Factor and expand a kiosk-fee polynomial.

import sympy as sp
x = sp.symbols('x')
print(sp.simplify((x ** 2 - 1) / (x - 1)))

import sympy as sp
x = sp.symbols('x')
print(sp.expand((x - 2) * (x - 3)))
print(sp.factor(x ** 2 - 5 * x + 6))

import sympy as sp
x = sp.symbols('x')
print(sp.cancel((x ** 2 + 2 * x) / x))

import sympy as sp
x = sp.symbols('x')
print(sp.trigsimp(sp.sin(x) ** 2 + sp.cos(x) ** 2))