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Monday, November 4, 2013

Special Products - Factoring, 24

Category: Algebra

"Published in Suisun City, California, USA"

Find the factors for


Solution:

Consider the given equation above


Did you notice that the first three terms of the given equation is a perfect trinomial square? Well, let's group the first three terms as follows



At the last three terms, when you group and take out their negative sign, then it will be a perfect trinomial square, too as follows
 
  

Next, rewrite the grouped terms in terms of exponential function as follows
 
 
 
Since the above equation can be factored by the difference of two squares in which the grouped terms are considered as a single term, then the factors of the given equation are