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Thursday, November 7, 2013

Special Products - Factoring, 27

Category: Algebra

"Published in Newark, California, USA"

Find the factors for


Solution:

Consider the given equation above


Did you notice that the given equation is a quadratic equation of variables (x - 9b) and y? (x - 9b) is considered as a single variable.  We have to do the trial and error method in getting the factors of (x - 9b)² and -2y² so that the middle term must be -(x - 9b)y. Let's start the factoring of the given equation as follows



The middle term is



Since the value of the above calculation is the same as the middle term of the given equation which is -y(x - 9b), then the factors of the given equation are