is 4w-121w^3 factorable?

first take out a common factor

w(4 - 121w^2)

and now a difference of squares ...

= w(2+11w)(2-11w)

To determine if the expression 4w-121w^3 is factorable, we can check if there are any common factors that can be factored out. In this case, there is no common factor between 4w and 121w^3, so we cannot factor out any common terms.

Next, we can check if the expression is a difference of squares or a perfect square trinomial. However, to do this, we need to make sure the expression is in the proper form. Let's rearrange the terms:

-121w^3 + 4w

Now, we can see that there is no obvious way to factor it further. Therefore, the expression 4w-121w^3 is not factorable.