So we can rewrite this up here. Section : Rational Expressions We now need to look at rational expressions. We have x plus 3 times x minus 3. If we were to multiply this times each of these terms, you get that right there.
In this case, it's a variable expression. If we make the 9 positive and we make the b negative 6, it works. That's this term right here.
Rational expressions are essentially the same thing, but instead of the numerator being an actual number and the denominator be an actual number, they're expressions involving variables. In fact, because of that the work will be slightly easier in this case.
But for them to really be equal, we have to add the condition.
One of them simply has a denominator of one. Do NOT write down the power that is on each factor, only write down the factor Now, for each factor written down in the previous step write down the largest power that occurs in all the denominators containing that factor.
And the two obvious numbers here are 2 and 3.
So let's factor out a 3x out of this expression on the left.