Use the properties of operations to subtract (h+k)−(2k−h).(1 point) Responses 2h−k 2 h minus k −2h−k negative 2 h minus k 2h+k 2 h plus k −k
To subtract (h+k) - (2k-h), we distribute the negative sign to both terms inside the second parentheses:
(h+k) - 2k + h
Next, we can combine like terms:
2h - k + k
Finally, we simplify further:
2h
To subtract (h+k)−(2k−h), we can distribute the negative sign to each term inside the second parentheses:
(h+k)−(2k−h) = h + k - 2k + h
Now, group like terms:
h + h + k - 2k
Combine the like terms:
2h - k
So, the result of subtracting (h+k)−(2k−h) is 2h - k.
what is the answer
2h is not an option
Apologies for the confusion. In that case, the correct answer is -2h + 2k.
To subtract (h+k) - (2k-h) using the properties of operations, we can follow these steps:
Step 1: Distribute the negative sign within the second parentheses.
(h + k) - (2k - h) = (h + k) + (-1)(2k) + (-1)(-h)
Step 2: Simplify the expression inside the parentheses.
(h + k) - (2k - h) = h + k - 2k + h
Step 3: Combine like terms.
(h + k) - (2k - h) = 2h - k
So, the answer is 2h - k.