00:01
We're asked to find the least common denominator of these two rational expressions, which, so we can do by looking at the trying to factor the denominator.
00:10
So let's try factoring into binomial first, the first one.
00:14
We have, we know c's in the beginning of both binomials, and since both signs are positive, we know both binomial signs are also positive, so c plus.
00:23
And since we're looking for factors, pairs of 28s, that add up to a, and we see, so 28, we can see is 28 and 1, so c7 and 4.
00:39
So we can stop here because 7 plus 4 is equal to 11.
00:42
So no numbers are 7 and 4.
00:44
This factors out to c plus 7 and c plus 4, both of which occur once in this denominator.
00:53
And then the second one, we can try factoring this one out as well.
00:57
And we get c plus as well, c plus, because both terms of of positive, both numbers.
01:04
And so factors of 49 are 7 and 7, and we see these are the correct numbers to place here, because 7 plus 7 adds up to the middle number, middle coefficient, which is 14.
01:16
So c plus 7 here occurs one time, or two times actually.
01:23
So now we can find the least common denominator.
01:25
We take all of the unique, take all the unique factors between these two denominators, which are c plus 7, c plus 7, and c plus 4...
