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

Question

.(1 point)
Responses

2h−k
2 h minus k

2h+k
2 h plus k

−k
negative k

−2h−k

Answer 1

To simplify \((h+k)−(2k−h)\), we will distribute the negative sign in front of the second parentheses and then combine like terms:

1. Rewrite the expression: \[ (h + k) - (2k - h) = (h + k) - 2k + h \]

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

So, the simplified expression is: \[ 2h - k \]

The correct response is: 2h−k