SOLUTION: 8x + yw + xy +8w 5z - uz + 7u^2 -35u I need to understand how to factor these equations

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Question 221911: 8x + yw + xy +8w
5z - uz + 7u^2 -35u
I need to understand how to factor these equations
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the first one to get you started. Let me know if you still need help with the second one.

# 1

8x%2Byw%2Bxy%2B8w Start with the given expression.


%28xy%2B8x%29%2B%28yw%2B8w%29 Rearrange and group like terms.


x%28y%2B8%29%2Bw%28y%2B8%29 Factor out the GCF x out of the first group. Factor out the GCF w out of the second group


%28x%2Bw%29%28y%2B8%29 Since we have the common term y%2B8, we can combine like terms.


So 8x%2Byw%2Bxy%2B8w factors to %28x%2Bw%29%28y%2B8%29


In other words, 8x%2Byw%2Bxy%2B8w=%28x%2Bw%29%28y%2B8%29