SOLUTION: Complete factoring help! a^2+4b^2-25c^2+4ab

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Question 255476: Complete factoring help!
a^2+4b^2-25c^2+4ab
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
a%5E2%2B4b%5E2-25c%5E2%2B4ab Start with the given expression.


a%5E2%2B4ab%2B4b%5E2-25c%5E2 Rearrange the terms.


%28a%2B2b%29%5E2-25c%5E2 Factor a%5E2%2B4ab%2B4b%5E2 to get %28a%2B2b%29%5E2


%28a%2B2b%2B5c%29%28a%2B2b-5c%29 Factor using the difference of squares formula.


So a%5E2%2B4b%5E2-25c%5E2%2B4ab completely factors to %28a%2B2b%2B5c%29%28a%2B2b-5c%29


In other words a%5E2%2B4b%5E2-25c%5E2%2B4ab=%28a%2B2b%2B5c%29%28a%2B2b-5c%29