Question

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

2h+k
2 h plus k

2h−k
2 h minus k

−2h−k
negative 2 h minus k

−k

Answer 1

To simplify the expression \((h+k) - (2k - h)\), we can use the properties of operations, specifically the distributive property and combining like terms.

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

2. Distribute the negative sign across the second parentheses:
\[
h + k - 2k + h
\]

3. Combine like terms:
- The \(h\) terms: \(h + h = 2h\)
- The \(k\) terms: \(k - 2k = -k\)

Putting it all together, we get:
\[
2h - k
\]

So the final simplified expression is:
\[
\boxed{2h - k}
\]