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

Question

.(1 point)
Responses

2h+k
2 h plus k

2h−k
2 h minus k

−2h−k
negative 2 h minus k

−k

Answer 1

To simplify the expression \((h+k) - (2k - h)\), we can use the properties of operations, specifically the distributive property and combining like terms.

1. Start with the given expression: \[ (h + k) - (2k - h) \]

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

3. Combine like terms:

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

Putting it all together, we get: \[ 2h - k \]

So the final simplified expression is: \[ \boxed{2h - k} \]