\(a,=\dfrac{3}{7xy}\\ b,=\dfrac{5}{6x\left(x-2y\right)}\\ c,=\dfrac{\left(x^2-1\right)\left(x-3\right)}{x\left(x-3\right)}=\dfrac{x^2-1}{x}\\ d,=\dfrac{\left(x-y\right)\left(x+y\right)}{\left(x-y\right)\left(x+y\right)+z\left(x-y\right)}=\dfrac{\left(x-y\right)\left(x+y\right)}{\left(x+y+z\right)\left(x-y\right)}=\dfrac{x+y}{x+y+z}\)