00:01
Today we are adding and subtracting fractions with complex denominators.
00:07
In this case, we are going to be adding and subtracting three fractions.
00:13
So i'm going to start by writing those out here.
00:17
And i left some space between them because we will need to multiply them to get them to a common denominator.
00:28
Now, if we look in this problem, we can see that, 2b and b minus 5 are both factors of 2b squared minus 10b.
00:40
So we can leave this fraction, the one all the way on the right, the third one, as is.
00:46
And we just want to multiply these fractions over here by their opposing denominators.
00:56
So in that case, we will do 2b here, and here we will do b minus 5.
01:03
And now what that does is it gives us a common denominator across all the fractions.
01:09
When we simplify it out, we get 4b squared over here over 2b squared minus 10b plus 3b minus 15 over our common denominator, and then minus this fraction over here, which we did not change.
01:38
Now that we have a common denominator across all three, we can see.
01:42
Simply combine the like terms and the numerators to add and subtract them.
01:48
So 4b squared is the only b squared...
