00:01
This problem tells us to rewrite as equivalent rational expressions with a nominator 3d minus 3 times d plus 7 times d minus 9.
00:07
And we're given two fractions and we need to provide the answers below after we figure out what needs to be done to the denominator.
00:15
So to figure out what we're missing on both sides, we need to get both denominators in factored form.
00:21
So for the fraction on the left, we can factor out of 3, which would leave us with d squared plus 6d and then minus 7.
00:29
And then we ask ourselves what two numbers multiplied to be negative 7, that'd be 6, and that would be d plus 7, d minus 1.
00:38
And then that's completely factored on the left side, so now we can work on the right side or the right fraction.
00:43
And same thing, first step, we're going to factor out of three.
00:47
That leaves us with d squared minus 10d plus 9.
00:51
And then go through those questions again.
00:53
We say what two numbers multiplied be a positive 9 and that to be a negative 10, and that would be a negative 9, a negative 1...
