Question

Use the properties of operations to subtract (h+k)−(2k−h)
.(1 point)
Responses

−k
negative k

2h+k
2 h plus k

−2h−k
negative 2 h minus k

2h−k

Answer 1

To subtract \((h+k)-(2k-h)\), we can use the properties of operations. Here’s the step-by-step breakdown:

1. Distribute the negative sign across the second term:
\[
(h+k) - (2k - h) = (h+k) - 2k + h
\]

2. Combine like terms:
- Combine \(h\) and \(h\):
\[
h + h = 2h
\]
- Combine \(k\) and \(-2k\):
\[
k - 2k = -k
\]

3. Thus, the expression simplifies to:
\[
2h - k
\]

The final result is:
\[
2h - k
\]

So, the correct response is **2h−k**.