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Monday, May 13, 2013

Special Products - Rational Functions

Category: Algebra

"Published in Newark, California, USA"

 Write  the product and simplify for


 

Solution:

The given equation above is another good example of special products where a binomial multiplied by another binomial where the terms are rational functions. In this case, we have to do the distribution property of multiplication over addition as follows






The LCD (Least Common Denominator) of the three fractions is (x + y)2(a + b)2. Rewrite the three fractions in terms of their LCD and simplify, we have




Since all the terms of the numerator cannot be combined and simplified, then we can leave the final answer as is.