Can anyone show me how to multiply two polynomials? 16d^2/4d^2-16d+16 * 4d-8/4d

It looks like you are dividing polynomials as well as multiplying them. See if anything can be factored and cancels out first. In this case, it can.

The first multiplied term can be written
16d^2/4(d-2)^2 = 4d^2/(d-2)^2

The second multiplied term can be reduced to (d/2)/d

Multiply them together and cancel terms that appear in both numerator and denominator, and you get
4d/(d-2) for the answer.

As far as multiplying polymials goes, just use the rule that a(b+c) = ab + ac. Each term of each ploynomial gets to multiply each term of the other polynomial once. Then add up the products. That is not what this problem is about. It is about simplifying by factroing and canceling.