Answer: c^2 + 2c + 1 = (c + 1)^2
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Step-by-step explanation:
We have c^2 + 2c, where 2 is the coefficient of the c term
This halves to 2/2 = 1, and then we square that to get 1^2 = 1.
Adding 1 to c^2+2c will result in c^2+2c+1, allowing it to be factored. This is because it's a perfect square
The rule we use is
(a+b)^2 = a^2 + 2ab + b^2