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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