SOLUTION: factor: 9z^2+zu+27z+3u

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Question 316990: factor:
9z^2+zu+27z+3u

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
9z%5E2%2Bzu%2B27z%2B3u Start with the given expression


%289z%5E2%2Bzu%29%2B%2827z%2B3u%29 Group the terms


z%289z%2Bu%29%2B3%289z%2Bu%29 Factor out the GCF z out of the first group. Factor out the GCF 3 out of the second group


%28z%2B3%29%289z%2Bu%29 Since we have the common term 9z%2Bu, we can combine like terms


So 9z%5E2%2Bzu%2B27z%2B3u factors to %28z%2B3%29%289z%2Bu%29


In other words, 9z%5E2%2Bzu%2B27z%2B3u=%28z%2B3%29%289z%2Bu%29