Use the properties of operations to subtract (h+k)-(2k-h)
(h+k)-(2k-h)
= h + k - 2k + h
= (h + h) + (k - 2k)
= 2h + (-k)
= 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 do it step by step:
Step 1: Distribute the negative sign (-) to the terms inside the second parentheses:
(h + k) - (2k - h) = h + k - 2k + h
Step 2: Combine like terms.
In this case, we have h terms and k terms, so you can group them together:
(h + k) - (2k - h) = (h + h) + (k - 2k)
Simplifying the expression further:
(h + h) + (k - 2k) = 2h + (-k)
Step 3: Rearrange the terms to get them in the desired order.
Without changing the value of the expression, you can use the commutative property to arrange the terms:
2h + (-k) = -k + 2h
So, the simplified expression is -k + 2h.
To subtract (h+k) - (2k-h), we can use the distributive property of subtraction and the commutative property of addition.
Step 1: Distribute the minus sign to the terms inside the parentheses:
(h + k) - (2k - h) = h + k - 2k + h
Step 2: Combine the like terms:
(h + h) + (k - 2k) = 2h - k
Therefore, (h+k) - (2k-h) simplifies to 2h - k.