Multiplying Polynomials - please assist I have the following answer - but am sure It is wrong -

(3c^2d-d^3+1)8cd^2 =
24c^2d^2-8cd^5+8cd^2?

When multiplying, you add the exponents. d = d^1

(24c^3d^3) - 8cd^5 + 8cd^2