SOLUTION: 4t^2+4t+1 Factor experssion

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Question 83886: 4t^2+4t+1 Factor experssion

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
4t^2 + 4t + 1
Take the product of the first term (leading coefficient) and the last term (constant).
4 * 1 = 4
What are factors of four that sum to the middle term (linear term).
Answer: 2,2
4t^2 + 2t + 2t + 1
(4t^2 + 2t) + (2t + 1)
2t(2t + 1) + 1(2t + 1)
(2t + 1)(2t + 1)
(2t + 1)^2