I think that clarifies that question a few more on the same subject though.
1.in this example for canceling variables we have
Note that in this example the x in the denominator is applied to the 2 and x in the numerator. Shown here , the x in the denominator goes to both numerators thus
2.However in this example
For the solution the author does not apply the whole denominator to both of the numerators and this is confusing me greatly. Working this problem out we have
why is the 2 + 3x not applied to both parts of this numerator resulting in ?
thanks in advance
Your second expression is a product. You do not need a common denominator. You simply multiply numerators and denominators and factor out any common elements in the product or along the way.