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Tuesday, November 19, 2013

Simplifying Algebraic Fractions, 10

Category: Algebra

"Published in Suisun City, California, USA"

Simplify


Solution:

Consider the given equation above


The numerator has no common factor but we can group the first three terms as follows



The grouped terms is a perfect trinomial square. We can rewrite it in terms of square of a binomial as follows



Factor the numerator by the difference of two squares, we have





Remove the common factor at the denominator, we have



The Greatest Common Factor (GCF) is (x + y + 2). Cross out their GCF and simplify into lowest term. Therefore, the final answer is