PARTIAL FRACTIONS

Welcome to the blog guys, In this post we will talk about PARTIAL FRACTIONS, which are very commonly used in simplifying operations on rational functions.

INTRODUCTION

The idea of Partial Fractions is that a rational function with a big algebraic denominator can be split into a combination of easy fractions, which are easy to deal with (almost similar to how a group of fractions add or subtract together to form a single big fraction, the denominator of which is the LCM of the denominators of each of them), these easy fractions are called the partial fractions of the original big fraction.

A FEW RULES

various mathematical works like serret's cours d'algebre superiure and other treatises on integral calculus, have suggested and proved rules for representing rational functions as their partial fractions. Some of which are given below : 

A TYPICAL EXAMPLE

Down here we give a simple example, you can try it on your own: 

Hint : to evaluate A put 2x-1 = 0 in the equation you obtain by applying the appropriate rule from above.

You can also watch my video on my channel :