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Thursday, October 31, 2013

Special Products - Factoring, 20

Category: Algebra

"Published in Newark, California, USA"

Find the factors for


Solution

Consider the given equation above


In this type of factoring of a polynomial, grouping is needed and we need to group the terms according to their type of variables. In grouping, usually you have to do the trial and error until you get the desired factors. Let's group the first two terms and then another group for the remaining terms as follows



The first group can be factored by the difference of two squares while the other group can be factored by removing of their common factor. Let's factor the grouped terms as follows



The common factor of the above equation is (6x - 5y). Take out their common factor and  therefore, the factors of the given equation are