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Monday, October 28, 2013

Special Products - Factoring, 17

Category: Algebra

"Published in Newark, California, USA"

Find the factors for


Solution:

Consider the given equation above


Since the two terms have both odd exponents which is 7, then we can factor the given equation by the sum and difference of two like odd powers. Therefore, the factors are



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