SOLUTION: simplify -√4a^2+4a+1

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Question 271414: simplify
-√4a^2+4a+1

Answer by jsmallt9(3758)   (Show Source): You can put this solution on YOUR website!
If your problem is not

then please repost your question and use parentheses around the expression that belongs inside the square root and use parentheses around the expression to which the "-" applies.

To simplify this expression, we need to recognize that fits the pattern with x = 2a and y = 1. So our expression can be rewritten as:

Now we have the square root of a perfect square! The easy mistake to make here is to think that . But a square root is supposed to positive. And 2a+1 may not be positive. So we use absolute value to ensure a positive square root:


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