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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 





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