Free counters!

Friday, November 8, 2013

Special Products - Factoring, 28

Category: Algebra

"Published in Newark, California, USA"

Find the factors for


Solution:

Consider the given equation above


If you think that you cannot factor the given equation, then you're right because there's no common factor at each terms. How about if you will expand the given equation and combine similar terms, then we can factor the resulting equation if possible? Let's expand the given equation, we have



Arrange the above equation according to their variables,



The last term, which is 3xyz can be written into three xyz's as follows



Group the above equation according to their variables, we have



Insert xyz at each group,



Remove their common factor at each group,




Since their common factor is (x - y + z), therefore, the factors of the given equation are