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

Responses

2h+k
2 h plus k

2h−k
2 h minus k

−k
negative k

−2h−k

1 answer

To subtract \((h + k) - (2k - h)\), we can use the properties of operations:

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

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

So, the final result is: \[ 2h - k \]

The correct response is: 2h−k