a) \(\left(8x^5-4x^3\right):\left(-2x^3\right)\)
\(=\left[8x^5:\left(-2x^3\right)\right]+\left[\left(-4x^3\right):\left(-2x^3\right)\right]\)
\(=-4x^2+2\)
b) \(\left(-2x^2y^3-3x^2y^2+x^2y\right):\left(\dfrac{-1}{3}x^2y\right)\)
\(=\left[\left(-2x^2y^3\right):\left(\dfrac{-1}{3}x^2y\right)\right]+\left[\left(-3x^2y^2\right):\left(\dfrac{-1}{3}x^2y\right)\right]+\left[x^2y:\left(\dfrac{-1}{3}x^2y\right)\right]\)
\(=6y^2+9y+\left(-3\right)\)
\(=6y^2+9y-3\)