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Wednesday, November 13, 2013

Simplifying Algebraic Fractions, 4

Category: Algebra

"Published in Newark, California, USA"



Consider the given equation above

The first thing that we have to do is to see if the quadratic equations at the numerator and denominator can be factored or not. Since x² has coefficient on both numerator and denominator, then we have to do factoring by trial and error until we get the middle term. Let's factor the numerator and denominator as follows

The greatest common factor (GCF) of the numerator and denominator is (2x + 3y). Cross out their GCF and simplify into lowest term. Therefore, the final answer is