Category: Algebra
"Published in Newark, California, USA"
Find the factors for
Solution:
Consider the given equation above
If you think that you cannot factor the given equation, then you're right because there's no common factor at each terms. How about if you will expand the given equation and combine similar terms, then we can factor the resulting equation if possible? Let's expand the given equation, we have
Arrange the above equation according to their variables,
The last term, which is 3xyz can be written into three xyz's as follows
Group the above equation according to their variables, we have
Insert xyz at each group,
Remove their common factor at each group,
Since their common factor is (x - y + z), therefore, the factors of the given equation are
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
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
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
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
Category: Algebra
"Published in Suisun City, California, USA"
Find the factors for
Solution:
Consider the given equation above
Did you notice that the first four terms of the given equation is a perfect cube? Well, let's group the first four terms as follows
Next, rewrite the grouped terms in terms of exponential function as follows
Since 64 is a perfect cube, then we can factor the above equation by the difference of two cubes. Therefore, the factors of the given equation are
