\(A=\dfrac{3x\left(x+y\right)}{y}\\ B=\dfrac{5\left(x+2\right)}{4\left(x-2\right)}\cdot\dfrac{-2\left(x-2\right)}{x+2}=\dfrac{-5}{2}\\ C=\dfrac{\left(x-y\right)\left(x+y\right)+2\left(x-y\right)}{\left(x-y\right)\left(x+y\right)}=\dfrac{\left(x-y\right)\left(x+y+2\right)}{\left(x+y\right)\left(x-y\right)}=\dfrac{x+y+2}{x+y}\\ D=\dfrac{\left(x-1\right)^3}{\left(x-1\right)^2}=x-1\\ E=\dfrac{\left(x-2y-2\right)\left(x-2y+2\right)}{2x\left(x-2y+2\right)}=\dfrac{x-2y-2}{2x}\\ F=\dfrac{5\left(x+y\right)^2}{3\left(x+y\right)\left(x^2-xy+y^2\right)}=\dfrac{5\left(x+y\right)}{3\left(x^2-xy+y^2\right)}\\ M=5x\)
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