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Wednesday, November 6, 2013

Special Products - Factoring, 26

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 variable y? The coefficient of three terms are also variables. In this type of quadratic equation, we have to do the trial and error method in factoring until we get the desired middle term. The coefficient of y² can be factored into (x + 1)(x - 1) while x² into x•x. 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 -2xy, then the factors of the given equation are