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wait i'll try to answer it
But, using simple expressions:
(a/b)(c/d) = (ac)/(bd)
The easiest way is to try values for a,b,c, and d... keeping in mind that b≠0 and d≠0.
One example when it is true doesn't prove mathematically that it's true for ALL values of the variables, but if it works for one set of values, and if it's a simple equation, at least it'll indicate if you're on the right track. On the other hand, if you happen to pick a set of values for the variables that make (a/b)(c/d) ≠ (ac)/(bd), it will prove absolutely that your product is incorrect. But still keep in mind that none of the denominators can be zero.
i googled it
Rational expressions usually means a fraction involving at least one variable.
So an example would be x/3 and another would be 2/x.
The product of these would be 2/3.
The way to check a product like this (or any product) is to divide the answer by one of the factors and see if you get the other factor.
Here, this would be 2/3 divided by x/3, which equals 2/x.