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Rational Expression Calculator - Online Calculator - Tutorpace

# Rational Expression Calculator

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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.