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

Answer 1

To simplify the expression \((h + k) - (2k - h)\), we can use the properties of operations, such as the distributive property and the associative property.

1. First, distribute the negative sign across the second parentheses:

   \[ (h + k) - (2k - h) = (h + k) - 2k + h \]

2. Now, combine like terms. We can group the \(h\) terms and the \(k\) terms together:

   \[ h + h + k - 2k = 2h + k - 2k \]

3. Combine \(k\) and \(-2k\):

   \[ 2h - k \]

So, the simplified result is:

\[ \mathbf{2h - k} \]