a: \(=\dfrac{2\left(x+3\right)}{x\left(3x-1\right)}\cdot\dfrac{-\left(3x-1\right)}{x\left(x+3\right)}=\dfrac{-2}{x}\)
b: \(=\dfrac{a-1+2a}{2\left(a-4\right)}=\dfrac{3a-1}{2a-8}\)
c: \(=\dfrac{\left(x+y\right)^3}{2\left(x+y\right)}=\dfrac{x^2+2xy+y^2}{2}\)
d: \(=x^2-10x+25+7x+14-x^2-2x\)
=-x+39
e: \(=\dfrac{3x+2x+1}{x-2}=\dfrac{5x+1}{x-2}\)