Use the properties of operation to subtract (h+k) - (2k-h)
To simplify the expression (h + k) - (2k - h), we can use the distributive property of multiplication over subtraction to eliminate the parentheses, especially for the second term where we distribute the subtraction across the expression within the parentheses. Let's go through the steps:
First, you have two terms:
1. h + k
2. 2k - h
The subtraction of the second term from the first can be expressed as:
(h + k) - (2k - h)
Now, distribute the negative sign (or consider it as multiplying the second term by -1) to the terms inside the second set of parentheses:
= (h + k) - 1*(2k) + 1*(h)
This gives us:
= h + k - 2k + h
Now combine like terms:
Combine the h terms:
= h + h
And combine the k terms:
= + k - 2k
This simplifies to:
= 2h + (1k - 2k)
Subtract the k terms:
= 2h - k
So, (h + k) - (2k - h) simplifies to 2h - k.