WIR1 20B M150 V16
Dividing rational expressions and simplifying
Creating and Manipulating Symbolic Expressions in Python
Author: David Manuel
In this video, it is shown how to create a symbolic expression in Python with a variable, and then how to factor, expand, and simplify the expression. It is also shown how to evaluate the expression by substituting a value for the variable.
Transcript 03
Transcript 03
Problem: Simplify \(g(x)\) for \(g(x)=\dfrac{f(x)}{x^2-1}\) with \(f(x)=x^4+5x^3+8x^2+x-15\). Evaluate \(g(1)\) before and after simplifying \(g(x).\)
Python Code:
from sympy import *
x=symbols('x')
f=x**4+5*x**3+8*x**2+x-15
print(f.factor())
f_factor=f.factor()
print(f_factor.expand())
g=f/(x**2-1)
print(g.simplify())
print(g.subs(x,1))
print(g.simplify().subs(x,1))
Open Python Notebook File
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Adding and subtracting rational expressions by finding a common denominator
Properties of Rational Functions and Expressions Video 9
Explaining how to multiply and divide rational expressions
Properties of Rational Functions and Expressions Video 10
Performing algebraic operations with rational expressions and simplifying the answer
Solving Rational Equations Video 1
Solving equations that contain rational expressions
Solving Rational Equations Video 2
Solving an equation that contains rational expressions
Solving Rational Equations Video 3
Solving an equation that contains rational expressions
Review for the Common Exam: MATH 151 Exam 3 Review Problems 8-15
Review of limits and derivatives of inverse trigonometric functions
Review for the Common Exam: MATH 151 Exam 1 Review Problems 14-25
Review of limits, continuity, and the Intermediate Value Theorem