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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



 

Monday, November 18, 2013

Simplifying Algebraic Fractions, 9

Category: Algebra

"Published in Suisun City, California, USA"

Simplify


Solution: 

Consider the given equation above


When you inspect the terms of the given equation, the numerator can be factored by the difference of two squares and the denominator can be factored by perfect trinomial square. Let's factor the numerator and denominator as follows





The Greatest Common Factor (GCF) is (x + y + 3). Cross out their GCF and simplify into lowest term. Therefore, the final answer is


 

Sunday, November 17, 2013

Simplifying Algebraic Fractions, 8

Category: Algebra

"Published in Suisun City, California, USA"

Simplify


Solution:

Consider the given equation above


The numerator is a perfect trinomial square in terms of (x + 1) and b. Rewrite the numerator in terms of square of a binomial as follows





The Greatest Common Factor (GCF) is (x + 1 - b). Cross out their GCF and simplify into lowest term. Therefore, the final answer is