SOLUTION: I can not understand these steps am I missing something nothing makes sense to me factor out completely x^2-6wy+3xy-2wx this is were I get stumped i would factor out x's and

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: I can not understand these steps am I missing something nothing makes sense to me factor out completely x^2-6wy+3xy-2wx this is were I get stumped i would factor out x's and       Log On


   

Question 116806: I can not understand these steps am I missing something nothing makes sense to me
factor out completely
x^2-6wy+3xy-2wx
this is were I get stumped i would factor out x's and w's but how thats the only thing this has in common.
Found 2 solutions by scott8148, jim_thompson5910:
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
try grouping

(x^2+3xy)-(2wx+6wy) ___ x(x+3y)-2w(x+3y) ___ (x-2w)(x+3y)

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2-6wy%2B3xy-2wx Start with the given expression

x%5E2%2B3xy-2wx-6wy Rearrange the terms

%28x%5E2%2B3xy%29%2B%28-2wx-6wy%29 Group like terms


x%28x%2B3y%29-2w%28x%2B3y%29 Factor out the GCF x out of the first group. Factor out the GCF -2w out of the second group


%28x-2w%29%28x%2B3y%29 Since we have the common term x%2B3y, we can combine like terms

So x%5E2%2B3xy-2wx-6wy factors to %28x-2w%29%28x%2B3y%29 which means x%5E2-6wy%2B3xy-2wx also factors to %28x-2w%29%28x%2B3y%29