Question

Use the properties of operations to subtract ( h + k ) - ( 2k + h )

-k

-2h - k

2h + k

2h - k

Answer 1

To simplify the expression \((h + k) - (2k + h)\), we can use the properties of operations:

1. Start with the expression:
\[
(h + k) - (2k + h)
\]

2. Distribute the negative sign to the terms inside the parentheses:
\[
= h + k - 2k - h
\]

3. Now, combine like terms:
- The \(h\) and \(-h\) cancel each other out:
\[
= (h - h) + (k - 2k) = 0 + (k - 2k) = 0 - k = -k
\]

Thus, the simplified result is:
\[
-k
\]

The correct answer is \(-k\).