SOLUTION: 16c^2-(5a+b)^2

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Question 143187: 16c^2-(5a+b)^2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Do you want to factor this?

Let x=5a%2Bb


So 16c%5E2-%285a%2Bb%29%5E2 becomes 16c%5E2-x%5E2. Notice how we have a difference of squares



%284c%2Bx%29%284c-x%29 Factor the expression using the difference of squares formula A%5E2-B%5E2=%28A%2BB%29%28A-B%29


%284c%2B5a%2Bb%29%284c-%285a%2Bb%29%29 Plug in x=5a%2Bb


%284c%2B5a%2Bb%29%284c-5a-b%29 Distribute


So 16c%5E2-%285a%2Bb%29%5E2 factors to %284c%2B5a%2Bb%29%284c-5a-b%29