Partial fraction decomposition is basically th breakdown of a complex partial fraction into fractions that add together with simpler denominators and numerators. As a student, i have done the opposite before in a lower math class, which is combining two fractions or more into one with a common and complex denominator. Partial fraction decomposition is way harder and takes more time due to many more steps. However, it is very straightforward with clear cut steps unlike some other things we did with trigonometry.
The steps to Partial Fraction Decomposition include:1) multiply
2) distribute
3) collect like terms
4) factor
5) equate
6) solve
Below, i have examples:
As shown in the examples, there are also many ways the partial fraction decomposition can be aet up according to the denominator of the initial fraction. 3 different ways are shown below
Good idea showing the different ways of decomposition. That was really helpful
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