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

Responses

2h+k
2 h plus k

−k
negative k

−2h−k
negative 2 h minus k

2h−k
2 h minus k

1 answer

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

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

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

So, the result of \((h + k) - (2k - h)\) is \(2h - k\).

The correct response is: 2h−k (2 h minus k).