Complete the square.rsquaredminus2rQuestion content area bottomPart 1Find the missing term that completes the square.rsquaredminus2rplusenter your response here​(Simplify your answer. Type an integer or a​ fraction.)

Answer 1

To complete the square for the expression \( r^2 - 2r \), we need to find a term that makes this a perfect square trinomial.

To do this, we take the coefficient of \( r \), which is \(-2\), divide it by \(2\), and then square the result:

1. Take \(-2\) and divide by \(2\): \[ \frac{-2}{2} = -1 \]

2. Square this result: \[ (-1)^2 = 1 \]

Thus, the missing term that completes the square is \(1\).

So, you should add \(1\) to the expression. Therefore, the completed square form of \( r^2 - 2r \) is: \[ r^2 - 2r + 1 = (r - 1)^2 \]

The answer to fill in the blank is \(1\).