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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