Question

How do you factor `4t^3-64t^2-128t`?

Answer 1

`4t(t-8+4sqrt6)(t-8-4sqrt6)`

Explanation:

`4t^3-64t^2-128t=4t(t^2-16t-32)=4t((t-8)^2-64-32)=4t((t-8)^2-96) =4t((t-8)^2-(4sqrt6)^2)=4t((t-8+4sqrt6)(t-8-4sqrt6))`[Ans]