'Partial Fraction Decomposition: Simplifying Complex Fractions '| Part 6

"Partial Fractions Decomposition: Definition and Solving Techniques"

Partial Fractions Decomposition is a mathematical concept in algebraic mathematics that involves representing a complex fraction as a sum of simpler fractions. It is a useful tool for solving problems and transforming complex fractions into more manageable expressions.

This method involves breaking down a complex fraction into simpler pieces, known as partial fractions, each with a numerator of 1 and a denominator that is a factor of the original denominator.

The process of partial fraction decomposition involves factoring the denominator of the fraction into its irreducible factors, determining the number of partial fractions required, writing the general form of each partial fraction, determining the coefficients of the partial fractions, and adding up the partial fractions to obtain the final representation of the complex fraction.

I do mention five essential rules to solve Partial Fraction and one of the rule is :"If the degree of the numerator is equal or greater to the degree of the denominator, we carry out polynomial division so as to obtain a quotient together with a fraction whose numerator is of lower degree than its denominator. This fraction is then resolved into partial fraction. Watch all the episodes of this video for the 5 Essential Rules and detail illustration on how to solve Partial Fraction.

This video is segmented into six, labels Part 1,2.....6 with questions and solutions provided in more simplified ways

There are various techniques and methods that can be used to solve partial fraction problems, including long division, substitution, and the method of undetermined coefficients. By using partial fraction decomposition, it is possible to simplify complex fractions and make integrals easier to solve. This concept is an important part of algebraic mathematics and is widely used in engineering, physics, and other related fields.

REFERENCE BOOK: CHAPTER 1.6| PURE MATHEMATICS FOR ADVANCED LEVEL BY (B.D BUNDAY & H.MULHOLLAND)

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