a: \(3x^2\left(5x^2-4x+3\right)=15x^4-12x^3+9x^2\)
b: \(-5xy\left(3x^2y-5xy+y^2\right)=-15x^3y^2+25x^2y^2-5xy^3\)
c: \(\left(-3y^2\right)\cdot\left(\dfrac{4}{3}y^4+\dfrac{2}{3}y^2-\dfrac{1}{3}\right)=-4y^6-2y^4+y^2\)
d: \(\left(-2x^3-\dfrac{1}{4}y-4yz\right)\cdot8xy^2=-16x^4y^2-2xy^3-32xy^3z\)