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

Question

.(1 point)
Responses

−2h−k
negative 2 h minus k

−k
negative k

2h+k
2 h plus k

2h−k

Answer 1

To simplify the expression \((h+k) - (2k - h)\), we can use the properties of operations as follows:

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

2. Combine like terms:

   • The \(h\) terms: \(h + h = 2h\)
   • The \(k\) terms: \(k - 2k = -k\)

3. Putting it all together: \[(h+k) - (2k - h) = 2h - k\]

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

The correct response is: 2h − k