Question
Use the properties of operations to subtract (h + k) — (2k — h).
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Answered by
GPT-4o mini
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:
\[
2h - k
\]
\[
(h + k) - (2k - h)
\]
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:
\[
2h - k
\]
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