# Partial Fractions Decomposition Calculator

#### Answer:

With this calculator, you can find the partial fractions of the rational expression entered. The expression has to be entered correctly for the calculator to generate the answer.

## How to use the partial fraction calculator?

**Step 1:** Enter the algebraic expression in the corresponding input box. Consider the aspects mentioned in the following question to enter the expression correctly.

**Step 2:** Enter the main variable of the expression in the second input box. In most cases, the variable is *x*.

**Step 3:** Click on “Calculate” to obtain the partial fractions of the entered expression.

**Step 4:** The partial fractions along with the original expression will be displayed at the bottom.

## How to enter expressions in the calculator?

To enter expressions into the calculator, we must use * to indicate multiplication between coefficients and variables. That is, instead of entering 4x or 5x^2, we have to write 4*x or 5*x^2.

Also, we must use the ^ sign to indicate an exponent. For example, we write 3*x^3 or 5*x^2 to indicate that x is cubed and squared, respectively.

Finally, we can write fractions using the / sign and parentheses to indicate the fraction correctly. The following are some examples of how to enter expressions correctly:

- To write \(\frac{3x^2+1}{2x^2-x+2}\), enter (3*x^2)/(2*x^2-x+2) and the variable
*x*. - To write \(\frac{x^2+2}{x(x-1)^3}\), enter (x^2+2)/(x*(x-1)^3) and the variable
*x*.

## What are partial fractions?

Finding partial fractions is an operation that consists of expressing a fraction as the sum of a polynomial and one or more fractions with a simpler denominator.

## Why find partial fractions?

Partial fractions allow us to rewrite a complex algebraic fraction into simpler fractions. This is particularly useful when we want to find the integral of the fraction since integrating the partial fractions is relatively easy.

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