Category: Algebra
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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