Partial Fraction Decomposition

Partial Fraction Decomposition is a method used in algebra to break down complex rational expressions (fractions with polynomials in numerator and denominator) into simpler, easier-to-handle fractions. By expressing a complicated fraction as a sum of simpler fractions with linear or quadratic denominators, it makes integration and other calculations easier. Essentially, it’s like splitting a complicated task into smaller, manageable parts. This technique is especially useful in calculus for integrating rational functions, simplifying analysis, and solving differential equations efficiently.