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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


 

Tuesday, November 12, 2013

Simplifying Algebraic Fractions, 3

Category: Algebra

"Published in Newark, California, USA"

Simplify


Solution:

Consider the given equation above


The numerator has similar variables and the denominator is a quadratic equation of the difference of two squares. Let's group the numerator with similar variables as follows



Take out their common factor at each group, we have





Factor the denominator as the difference of two squares



The greatest common factor (GCF) of the numerator and denominator is (a + 2). Cross out their GCF and simplify into lowest term. Therefore, the final answer is


 

Monday, November 11, 2013

Simplifying Algebraic Fractions, 2

Category: Algebra

"Published in Newark, California, USA"

Simplify


Solution:

Consider the given equation above


The numerator is a quadratic equation in terms of y and mx while the denominator has a common factor which is x. Let's factor the given equation, we have



The greatest common factor (GCF) of the numerator and denominator is (y + 2mx). Cross out their GCF and simplify into lowest term. Therefore, the final answer is