SOLUTION: Can you help me solve the following problem. It is to Factor the polynomial completely. {{{192k^3m-375m^4}}} I really appriciate it. I am not getting this section at all.

Question 121497: Can you help me solve the following problem. It is to Factor the polynomial completely.

I really appriciate it. I am not getting this section at all.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Factor:
In this problem, it would be nice if the binomial were a difference of two cubes so that it could be factored as shown in my answer to your previous problem. Notice that each term of the binomial has a common factor of m, and you should be able to see that the coefficients of each term are both divisble by 3 (The sum of the digits is divisble by 3), so you can first factor out 3m:

Now, using the fact that a binomial that is the difference of two cubes can be factored: , you can apply this to your problem:
= Simplifying, we get:
and you could factor the trinomial a little more...
, so finally, you get:

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