a) \(=\dfrac{x\left(x+2\right)}{\left(x+2\right)\left(x+3\right)}=\dfrac{x}{x+3}\)
b) \(=\dfrac{\left(x-3\right)\left(x+3\right)}{x\left(x-3\right)}=\dfrac{x+3}{x}\)
c) \(=\dfrac{\left(x-y\right)^2}{3\left(x-y\right)}=\dfrac{x-y}{3}\)
d) \(=\dfrac{\left(x+y\right)^2-9}{y\left(x+y-3\right)}=\dfrac{\left(x+y-3\right)\left(x+y+3\right)}{y\left(x+y-3\right)}=\dfrac{x+y+3}{y}\)


