How to use partial fraction expansion to express a rational fraction as a sum of terms.
In this video we find the partial fraction decomposition of 1/[(x+1)(x-2)] which requires us to decompose the fraction into two smaller fractions with two unknowns ‘A’ and ‘B’.
To solve our unknowns ‘A’ and ‘B’, make sure the fractions have the same denominator so that the numerator can be equated from both sides of the equation. Lastly substitute a value for x to eliminate each variable so that you can find the other one.
Partial fraction decomposition is a useful technique for finding Laplace Transforms and integrating tough integrals in later subjects.
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Music by Adrian von Ziegler