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

Question

.(1 point)
Responses

−k
negative k

2h+k
2 h plus k

−2h−k
negative 2 h minus k

2h−k

Answer 1

To subtract \((h+k)-(2k-h)\), we can use the properties of operations. Here’s the step-by-step breakdown:

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

2. Combine like terms:

   • Combine \(h\) and \(h\): \[ h + h = 2h \]
   • Combine \(k\) and \(-2k\): \[ k - 2k = -k \]

3. Thus, the expression simplifies to: \[ 2h - k \]

The final result is: \[ 2h - k \]

So, the correct response is 2h−k.