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Monday, November 18, 2013

Simplifying Algebraic Fractions, 9

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


 

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 


 

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