Question

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

−2h−k
negative 2 h minus k

2h+k
2 h plus k

−k
negative k

2h−k

Answer 1

To simplify the expression \((h+k)-(2k-h)\), we can use the properties of operations, specifically the distributive property and the properties of combining like terms. Let's go through the steps:

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

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

3. Further simplify:
\[
2h + (k - 2k) = 2h - k
\]

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

Thus, the correct response is:

**2h−k**