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Tuesday, November 19, 2013

Simplifying Algebraic Fractions, 10

Category: Algebra

"Published in Suisun City, California, USA"



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