1)
\(\displaystyle \dfrac{2}{x^3(x-3)}+\dfrac{3}{x(x-3)^2}\)
Denominator 1: x3(x-3)
Denominator 2: x(x-3)2
LCD: x3(x-3)2
\(\displaystyle =\dfrac{2}{x^3(x-3)} \cdot \dfrac{x^3(x-3)^2}{x^3(x-3)^2} + \dfrac{3}{x(x-3)^2} \cdot \dfrac{x^3(x-3)^2}{x^3(x-3)^2}\)
\(\displaystyle =\dfrac{2}{1} \cdot \dfrac{(x-3)}{x^3(x-3)^2} + \dfrac{3}{1} \cdot \dfrac{x^2}{x^3(x-3)^2}\)