Question

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

Answer 1

To subtract \((h + k) - (2k + h)\), we can apply the properties of operations, specifically the associative and commutative properties, to simplify the expression.

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

2. Distribute the negative sign to the second expression:
\[
(h + k) - 2k - h
\]

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

4. Simplify \(k - 2k\):
\[
k - 2k = -k
\]

5. Therefore, the simplified result is:
\[
-(k)
\]

So, the final answer is:
\[
-(k) \quad \text{or} \quad -k
\]