Chapter 5, Systems of Equations and Inequalities - Section 5.3 - Partial Fractions - 5.3 Exercises - Page 461: 5

$\dfrac{A}{x-2}+\dfrac{B}{(x-2)^2}+\dfrac{C}{x+4}$

Simplify $\dfrac{x^2-3x+5}{(x-2)^2(x+4)}$ into partial fraction decomposition. Applying the partial fraction decomposition rule. $\dfrac{x^2-3x+5}{(x-2)^2(x+4)}=\dfrac{A}{x-2}+\dfrac{B}{(x-2)^2}+\dfrac{C}{x+4}$