Question

How do you write this as a single fraction in its simplest form?
Show workings please!

Answer 1

$\frac{3}{x^2}+\frac{1}{x(x-2)}=\\ \frac{3(x-2)}{x^2(x-2)}+\frac{x}{x^2(x-2)}=\\ \frac{3x-6+x}{x^2(x-2)}=\\ \frac{4x-6}{x^2(x-2)}$