SOLUTION: How do you factor this expression: z^4 - w^2 +w -z^2

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Question 888158: How do you factor this expression: z^4 - w^2 +w -z^2
Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!
z%5E4+-+w%5E2+%2Bw+-z%5E2

Reverse the last two terms to get them in the same
"alphabetical" order as the first two terms

z%5E4+-+w%5E2-z%5E2%2Bw

Factor 1 out of the first two terms.
Factor -1 out of the last two terms:

1%28z%5E4+-+w%5E2%29-1%28z%5E2-w%29

Factor the expression in the first parentheses as
the difference of two squares: 

1%28z%5E2+-+w%29%28z%5E2%2Bw%29-1%28z%5E2-w%29

Factor out common factor %28z%5E2-w%29

%28z%5E2-w%29%281%28z%5E2%2Bw%29-1%29

Remove the inner parentheses by distributing the 1

%28z%5E2-w%29%28z%5E2%2Bw-1%29

Edwin