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

Answer 1

To subtract \((h+k) - (2k - h)\), we can use the properties of operations to simplify the expression step by step.

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

2. Now, combine like terms:

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

So, we get: \[ 2h - k \]

Thus, the simplified expression is: \[ \boxed{2h - k} \]