SOLUTION: factor, show all stages(factoring out a GCF before taking resulting polynomial and factoring it again) check answer: x^2-15wy+3xy-5wx

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Question 168711: factor, show all stages(factoring out a GCF before taking resulting polynomial and factoring it again) check answer: x^2-15wy+3xy-5wx
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2-15wy%2B3xy-5wx Start with the given expression


%28x%5E2%2B3xy%29%2B%28-15wy-5wx%29 Group like terms


x%28x%2B3y%29%2B%28-15wy-5wx%29 Factor out the GCF "x" from the first group


x%28x%2B3y%29-5w%283y%2Bx%29 Factor out the GCF "-5w" from the first group


x%28x%2B3y%29-5w%28x%2B3y%29 Rearrange 3y%2Bx to get x%2B3y


%28x-5w%29%28x%2B3y%29 Combine like terms.


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Answer:


So x%5E2-15wy%2B3xy-5wx completely factors to %28x-5w%29%28x%2B3y%29