A PHP Error was encountered

Severity: Warning

Message: count(): Parameter must be an array or an object that implements Countable

Filename: controllers/calculator.php

Line Number: 37

Simplify Rational Expression Calculator - Online Calculator - Tutorpace

Simplify Rational Expression Calculator

Online Tutoring Is The Easiest, Most Cost-Effective Way For Students To Get The Help They Need Whenever They Need It.


Rational expression is any expression which has a polynomial in its numerator and denominator. A rational expression is an expression which contains fractions of polynomials. This, in short is the explanation of rational expression calculation.
The simplify Rational Expression Calculator tool can be used to solve and evaluate different kinds of   situations involving rational expressions.

Example 1.Simplify: (3x^3+2x^2-5x-4)/ (-3x^3+7x^2+2x-8)

Solution:-This is a good example to understand the concept of rational expression simplification.  In this given problem, we look at how we simplify a problem on rational expressions.

The problem comprises of 3 steps:

Step 1 of the solution:-

(3x^3+2x^2-5x-4)/ (-3x^3+7x^2+2x-8)

Step 2 of the solution:-

= (x + 1) ^2(3x - 4)/-(x + 1) (x - 2) (3x - 4)

Step 3 of the solution:-

= (x + 1)/-(x- 2)  
So, our final answer is:-       
= x+1/ (-x+2)

Now, we will look at another problem on simplification of rational expressions to make it clearer.

Example 2.Simplify (5x^3+3x^2-32x+12)/ (-15x^2+36x-12)

Solution: - To solve this problem on rational expression calculation we do the following steps as given below. This problem comprises of 3 steps.

Step 1 of the solution:-

(5x^3+3x^2-32x+12)/ (-15x^2+36x-12)

Step 2 of the solution:-

=( x - 2 )( 5x - 2 )( x + 3 )/-3( x - 2 )( 5x - 2 )

Step 3 of the solution:-

= (x + 3)/-3

So, our final answer comes to   (x + 3)/-3.

HAVE A QUESTION? Chat With Our Tutoring Experts Now