SOLUTION: Factor -uz+2t+tu-2z

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Question 316995: Factor
-uz+2t+tu-2z
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
-uz%2B2t%2Btu-2z Start with the given expression


-uz%2Btu-2z%2B2t Rearrange the terms.


%28-uz%2Btu%29%2B%28-2z%2B2t%29 Group the terms


u%28-z%2Bt%29%2B2%28-z%2Bt%29 Factor out the GCF u out of the first group. Factor out the GCF 2 out of the second group


%28u%2B2%29%28-z%2Bt%29 Since we have the common term -z%2Bt, we can combine like terms


%28u%2B2%29%28t-z%29 Rearrange the terms.


So -uz%2B2t%2Btu-2z factors to %28u%2B2%29%28t-z%29


In other words, -uz%2B2t%2Btu-2z=%28u%2B2%29%28t-z%29