Category: Algebra
"Published in Suisun City, California, USA"
Simplify
Solution:
Consider the given equation above
The common factor of the numerator is (x - 1)². 1 and x² at the denominator can be interchanged as follows
The denominator is a perfect trinomial square. Therefore, after cross out their Greatest Common Factor (GCF) and simplify into lowest term, the final answer is

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)
Saturday, November 16, 2013
Friday, November 15, 2013
Simplifying Algebraic Fractions, 6
Category: Algebra
"Published in Suisun City, California, USA"
Simplify
Solution:
Consider the give equation above
After the inspection of the terms, the numerator can be factored by the difference of two cubes and the denominator can be factored by the difference of two squares as follows
Change the sign of the term at the denominator which is (2 - y) into - (y - 2) as follows
The greatest common factor (GCF) of the numerator and denominator is (y - 2). Cross out their GCF and simplify into lowest term. Therefore, the final answer is
"Published in Suisun City, California, USA"
Simplify
Solution:
Consider the give equation above
After the inspection of the terms, the numerator can be factored by the difference of two cubes and the denominator can be factored by the difference of two squares as follows
Change the sign of the term at the denominator which is (2 - y) into - (y - 2) as follows
The greatest common factor (GCF) of the numerator and denominator is (y - 2). Cross out their GCF and simplify into lowest term. Therefore, the final answer is
Thursday, November 14, 2013
Simplifying Algebraic Fractions, 5
Category: Algebra
"Published in Suisun City, California, USA"
Simplify
Solution:
Consider the given equation above
The first thing that we have to do is to inspect all the terms at the numerator and denominator. Let's group the first two terms at the numerator and then the next two terms at the numerator also, as follows
The first group can be factored by the difference of two squares while the other group can be factored by removal of their common factor, as follows
The common factor at the numerator is (x + y). Remove their common factor, we have
The greatest common factor (GCF) of the numerator and denominator is (x - y + 2). Cross out their GCF and simplify into lowest term. Therefore, the final answer is
"Published in Suisun City, California, USA"
Simplify
Solution:
Consider the given equation above
The first thing that we have to do is to inspect all the terms at the numerator and denominator. Let's group the first two terms at the numerator and then the next two terms at the numerator also, as follows
The first group can be factored by the difference of two squares while the other group can be factored by removal of their common factor, as follows
The common factor at the numerator is (x + y). Remove their common factor, we have
The greatest common factor (GCF) of the numerator and denominator is (x - y + 2). Cross out their GCF and simplify into lowest term. Therefore, the final answer is
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