Answer: Option 'A' is correct.
Step-by-step explanation:
Since we have given that
[tex](p^3)(2p^2-4p)(3p^2-1)[/tex]
Now, we will solve the last two terms using "Product of polynomials":
[tex]\left(2p^2-4p\right)\left(3p^2-1\right)\\\\\text{Using this :}\left(a+b\right)\left(c+d\right)=ac+ad+bc+bd\\\\a=2p^2,\:b=-4p,\:c=3p^2,\:d=-1\\\\=2p^2\cdot \:3p^2+2p^2\left(-1\right)+\left(-4p\right)\cdot \:3p^2+\left(-4p\right)\left(-1\right)[/tex]
So, at last it becomes:
[tex]\left(p^3\right)\left(6p^4-12p^3-2p^2+4p\right)[/tex]
Hence, Option 'A' is correct.
