SOLUTION: factor completely 8a^2+4a-14ab-7b

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Question 167667: factor completely
8a^2+4a-14ab-7b
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

8a%5E2%2B4a-14ab-7b Start with the given expression


%288a%5E2%2B4a%29%2B%28-14ab-7b%29 Group like terms


4a%282a%2B1%29-7b%282a%2B1%29 Factor out the GCF 4a out of the first group. Factor out the GCF -7b out of the second group


%284a-7b%29%282a%2B1%29 Since we have the common term 2a%2B1, we can combine like terms


So 8a%5E2%2B4a-14ab-7b factors to %284a-7b%29%282a%2B1%29