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

(

+
𝑘
)

(
2
𝑘


)
.(1 point)
Responses

−2h−k

2


𝑘
negative 2 h minus k

2h−k
2


𝑘
2 h minus k

2h+k
2

+
𝑘
2 h plus k

−k

𝑘
negative k ....

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To simplify the expression \((h + k) - (2k - h)\), we can follow the steps below, applying the properties of operations (distributive property, combining like terms, etc.).

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

  2. Combine like terms:
    Combine \(h\) and \(h\) to get \(2h\), and combine \(k\) and \(-2k\):
    \[ 2h + k - 2k = 2h - k \]

So, the simplified expression is \(2h - k\).

The correct response is: 2h - k.