SOLUTION: Factor completely and show steps: x^2-3wx+2xy-6wy

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Question 181868: Factor completely and show steps:
x^2-3wx+2xy-6wy

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x%5E2-3wx%2B2xy-6wy Start with the given expression


%28x%5E2-3wx%29%2B%282xy-6wy%29 Group like terms


x%28x-3w%29%2B2y%28x-3w%29 Factor out the GCF x out of the first group. Factor out the GCF 2y out of the second group


%28x%2B2y%29%28x-3w%29 Since we have the common term x-3w, we can combine like terms


So x%5E2-3wx%2B2xy-6wy factors to %28x%2B2y%29%28x-3w%29