Question

Use the properties of operations to subtract (h+k)−(2k−h) .(1 point)

Answer 1

To subtract \((h+k) - (2k-h)\), we can first rewrite the expression by distributing the negative sign across the second expression:

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

Next, we can combine like terms. Let's group the \(h\) terms together and the \(k\) terms together:

\[
h + h + k - 2k = 2h + k - 2k
\]

Now, combine the \(k\) terms:

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

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

\[
\boxed{2h - k}
\]