# Partial Fraction Decomposition

Partial Fraction Decomposition

Many rational functions can be expressed as a sum of simpler fractions. For example, can be expressed as the sum +. To find A and B, Heaviside's method can be used. First, multiply the original fraction by , cancel, and substitute 1 for : (x-1)=⇒A==-1. Similarly,

x+1

(x-3)(x-1)

A

x-3

B

x-1

(x-1)

x

x+1

(x-3)(x-1)

x+1

x-3

1+1

1-3

x+1

(x-3)(x-1)

x+1

x-1

3+1

3-1

x+1

(x-3)(x-1)

2

x-3

-1

x-1