(h + k) - (2k - h)
To simplify the expression (h + k) - (2k - h), follow these steps:
Step 1: Distribute the negative sign to the terms inside the parentheses:
(h + k) - (2k - h) = h + k - 2k + h
Step 2: Combine like terms:
In this case, the like terms are h and h (the "h" terms) and k and -2k (the "k" terms).
h + k - 2k + h = (h + h) + (k - 2k)
Step 3: Simplify the like terms:
h + h simplifies to 2h, and k - 2k simplifies to -k.
(h + h) + (k - 2k) = 2h - k
Therefore, the simplified expression (h + k) - (2k - h) is 2h - k.
To simplify the expression (h + k) - (2k - h), let's start by removing the parentheses.
When we have a positive sign (+) before the parentheses, we can simply remove the parentheses without changing the signs inside the parentheses. Therefore, (h + k) remains as h + k.
However, when we have a negative sign (-) before the parentheses, we need to distribute the negative sign to every term inside the parentheses. Therefore, (2k - h) becomes -2k + h.
Now, we can rewrite the expression as h + k - 2k + h.
Next, let's collect like terms. In this case, we have two terms with h and two terms with k.
Adding the like terms, h + h becomes 2h, and k - 2k becomes -k. So, we get 2h - k as the simplified expression.
Therefore, the expression (h + k) - (2k - h) simplifies to 2h - k.