Category: Algebra
"Published in Suisun City, California, USA"
Simplify
Solution:
Consider the given equation above
When you inspect the terms of the given equation, the numerator can be factored by the difference of two squares and the denominator can be factored by perfect trinomial square. Let's factor the numerator and denominator as follows
The
Greatest Common Factor (GCF) is (x + y + 3). Cross out their GCF and
simplify into lowest term. Therefore, 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)
Monday, November 18, 2013
Sunday, November 17, 2013
Simplifying Algebraic Fractions, 8
Category: Algebra
"Published in Suisun City, California, USA"
Simplify
Solution:
Consider the given equation above
The numerator is a perfect trinomial square in terms of (x + 1) and b. Rewrite the numerator in terms of square of a binomial as follows
The Greatest Common Factor (GCF) is (x + 1 - b). 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 numerator is a perfect trinomial square in terms of (x + 1) and b. Rewrite the numerator in terms of square of a binomial as follows
The Greatest Common Factor (GCF) is (x + 1 - b). Cross out their GCF and simplify into lowest term. Therefore, the final answer is
Saturday, November 16, 2013
Simplifying Algebraic Fractions, 7
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
"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
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
Wednesday, November 13, 2013
Simplifying Algebraic Fractions, 4
Category: Algebra
"Published in Newark, California, USA"
Simplify
Solution:
Consider the given equation above
The first thing that we have to do is to see if the quadratic equations at the numerator and denominator can be factored or not. Since x² has coefficient on both numerator and denominator, then we have to do factoring by trial and error until we get the middle term. Let's factor the numerator and denominator as follows
The greatest common factor (GCF) of the numerator and denominator is (2x + 3y). Cross out their GCF and simplify into lowest term. Therefore, the final answer is
"Published in Newark, California, USA"
Simplify
Solution:
Consider the given equation above
The first thing that we have to do is to see if the quadratic equations at the numerator and denominator can be factored or not. Since x² has coefficient on both numerator and denominator, then we have to do factoring by trial and error until we get the middle term. Let's factor the numerator and denominator as follows
The greatest common factor (GCF) of the numerator and denominator is (2x + 3y). Cross out their GCF and simplify into lowest term. Therefore, the final answer is
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