00:01
So we're asked to go through and factor the expression of m to the third n minus 10m squared n squared plus 24 m n to the third.
00:19
So first we need to go through and factor out any of the greatest common factors that we can find.
00:24
So in this scenario, the greatest one that we find in all three of the terms would be m times n.
00:31
So once we extract that, we're left with m squared minus 10 mn, then plus 24n squared.
00:48
So now that we have that, we can go through in factor that m squared minus 10 mn plus 24n squared.
00:57
So we need to find what two terms have a product of 24n square, but a sum of negative 10n.
01:08
So we're looking in terms of n.
01:09
So when we go back through and do all of that and look through the factors of 24 and then the sums of negative 10, we see that we want the integers of negative 6 and negative 4.
01:21
So it would be negative 6n and then negative 4n...