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

This website will show the principles of solving Math problems in Arithmetic, Algebra, Plane Geometry, Solid Geometry, Analytic Geometry, Trigonometry, Differential Calculus, Integral Calculus, Statistics, Differential Equations, Physics, Mechanics, Strength of Materials, and Chemical Engineering Math that we are using anywhere in everyday life. This website is also about the derivation of common formulas and equations. (Founded on September 28, 2012 in Newark, California, USA)
Wednesday, November 6, 2013
Tuesday, November 5, 2013
Special Products - Factoring, 25
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 x? 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. Since the coefficient of variables are already factored, then we can start to factor 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 4x, then the factors of the given equation are
"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 x? 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. Since the coefficient of variables are already factored, then we can start to factor 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 4x, then the factors of the given equation are
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
"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
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