a: \(=x^2y\left(4-8+1\right)=-3x^2y\)
b: \(=5xy-\dfrac{1}{2}xy+\dfrac{3}{2}xy=5xy+xy=6xy\)
c: \(=\dfrac{1}{2}x^2+x^3\left(3-x\right)=-x^3+\dfrac{1}{2}x^2\)
d: \(=x^2y\left(5-4\right)-3xy^2=x^2y-3xy^2\)
e: \(=\dfrac{3}{2}x^2-\dfrac{1}{2}x^2+3x+x=x^2+4x\)