00:01
Hello, so here we're giving the expression 21 pq squared plus 35 p squared q squared minus 28 q cubed.
00:07
So we have three terms.
00:09
And looking at the coefficients, the number part, well, 7 goes into 21, 35, and 28.
00:14
So that's the greatest common factor.
00:16
There you can pull out a 7.
00:17
And then, well, let's see, we have a p, a p squared, but no p's in the last terms.
00:23
We can't factor out a p, but we have qs everywhere.
00:26
And the lowest power of q that we have everywhere is going to be q squared.
00:30
So we can go ahead and factor out 7q squared as a good common factor, and then say, well, 7q squared times, i guess, 3 p, right? because 7 times 3 is 21...