Use the properties of operations to subtract (h+k)−(2k−h).(1 point)
Responses
To subtract (h+k)−(2k−h), we can use the distributive property and the commutative property:
(h+k)−(2k−h) can be rewritten as (h+k)+(-1)(2k−h).
Using the distributive property, we get h+k+(-1)(2k)+(-1)(-h).
Simplifying further, we have h+k-2k+h.
Applying the commutative property, we can rearrange the terms in any order. In this case, we can rearrange to h+h+k-2k.
Combining like terms, we get 2h- k.
To subtract (h+k)−(2k−h), we can use the properties of operations, specifically the distributive property and the commutative property.
Step 1: Distribute the negative sign to each term inside the parentheses:
(h+k)−(2k−h) becomes (h+k)+(-2k+h).
Step 2: Reorder the terms using the commutative property:
(h+k)+(-2k+h) becomes h+h+k+(-2k).
Step 3: Combine like terms:
h+h+k+(-2k) simplifies to 2h-k.
So, (h+k)−(2k−h) is equal to 2h-k.
To subtract (h+k) - (2k-h), you can use the properties of operations, specifically the distributive property and the commutative property. Here's how you can solve it:
Step 1: Use the distributive property to remove the parentheses. Multiply the -1 with each term inside the second set of parentheses, like this:
(h + k) - (2k - h)
= h + k - 2k + h
Step 2: Group the like terms together. In this case, the terms with "h" and "k":
(h + k) - (2k - h)
= (h + h) + (k - 2k)
= 2h - k
So, the result of (h+k) - (2k-h) is 2h - k.