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Sunday, October 27, 2013

Special Products - Factoring, 16

Category: Algebra

"Published in Newark, California, USA"

Find the factors for


Solution:

Consider the given equation above


Since the two terms have both even exponents, then we can factor the given equation by the sum and difference of two squares as follows



Factor each group by the sum and difference of two cubes as follows



Therefore, the factors are

 

Saturday, October 26, 2013

Special Products - Factoring, 15

Category: Algebra

"Published in Newark, California, USA"

Find the factors for


Solution:

Consider the given equation above


If you will examine the given equation, each terms are perfect cube. (a + b) is considered as a single variable. The given equation can be factored by the sum and difference of two cubes. Therefore, the factors are




 

Friday, October 25, 2013

Special Products - Factoring, 14

Category: Algebra

"Published in Newark, California, USA"

Find the factors for


Solution:

Consider the given equation above


If you will examine the equation above, there's a common factor which is a. Take out their common factor as follows



Since each terms in the parenthesis are perfect cube, then we can factor the grouped terms as the sum and difference of two cubes. Therefore, the factors are