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

Question

Responses

2h+k
2 h plus k

2h−k
2 h minus k

−k
negative k

−2h−k

Answer 1

To simplify the expression \((h+k) - (2k - h)\), we can follow these steps:

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

2. Combine like terms:

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

So, the expression simplifies to: \[ 2h - k \]

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