Free counters!

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