@?algebra

What is the simple case of partial fractions?? Where the denominator is $(ax + b)(cx + d)$. What is the harder case of partial fractions?? Where the denominator is $(ax + b)(cx + d)^2$ $$\frac{5x}{(x + 2)(x - 3)}$$ What’s the first step to finding the partial fractions?? Rewriting as $$ \frac{A}{x + 2} + \frac{B}{x - 3} $$ $$\frac{A}{x + 2} + \frac{B}{x - 3}$$ How could you add these two fractions together?? $$ \frac{A(x - 3) + B(x + 2)}{(x+2)(x-3)} $$