Use the properties of operations to subtract (h + k) — (2k — h).

1 answer

To subtract the expression \((h + k)\) from \((2k - h)\), we can rewrite the expression as follows:

\[ (h + k) - (2k - h) \]

Next, we'll distribute the negative sign across the second expression:

\[ (h + k) - 2k + h \]

Now, we can combine like terms. First, let's combine the \(h\) terms:

\[ h + h = 2h \]

Next, we combine the \(k\) terms:

\[ k - 2k = -k \]

Putting it all together, the expression simplifies to:

\[ 2h - k \]

Thus, the result of the subtraction \((h + k) - (2k - h)\) is:

\[ 2h - k \]