Question

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

−2h−k
−
2
ℎ
−
𝑘
negative 2 h minus k

2h−k
2
ℎ
−
𝑘
2 h minus k

2h+k
2
ℎ
+
𝑘
2 h plus k

−k
−
𝑘
negative k ....

Answer 1

To simplify the expression \((h + k) - (2k - h)\), we can follow the steps below, applying the properties of operations (distributive property, combining like terms, etc.).

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

2. **Combine like terms**:
Combine \(h\) and \(h\) to get \(2h\), and combine \(k\) and \(-2k\):
\[
2h + k - 2k = 2h - k
\]

So, the simplified expression is \(2h - k\).

The correct response is:
**2h - k**.