a: \(=\dfrac{64x\left(x-y\right)^3}{12x^2y\left(x-y\right)^2}=\dfrac{16\left(x-y\right)}{3xy}\)
b: \(=\dfrac{-4\left(x+y\right)}{10\left(y-x\right)}\)
c: \(=\dfrac{4x\left(x-3\right)\left(x+3\right)}{\left(x+3\right)^2}=\dfrac{4x\left(x-3\right)}{x+3}\)
d: \(=\dfrac{\left(x+2\right)^2-4y^2}{\left(x+2-2y\right)}=x+2+2y\)
e: \(=\dfrac{5x^2-5x+2x-2}{\left(x-1\right)\left(x^2+x+1\right)}=\dfrac{\left(x-1\right)\left(5x+2\right)}{\left(x-1\right)\left(x^2+x+1\right)}=\dfrac{5x+2}{x^2+x+1}\)








