SOLUTION: Factor by grouping xy-2x+5y-10

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Question 669106: Factor by grouping
xy-2x+5y-10
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
xy-2x%2B5y-10 Start with the given expression


%28xy-2x%29%2B%285y-10%29 Group the terms in two pairs


x%28y-2%29%2B5%28y-2%29 Factor out the GCF x out of the first group. Factor out the GCF 5 out of the second group


%28x%2B5%29%28y-2%29 Since we have the common term y-2, we can combine like terms


So xy-2x%2B5y-10 factors to %28x%2B5%29%28y-2%29


In other words, xy-2x%2B5y-10=%28x%2B5%29%28y-2%29