Use properties of operation to subtract (h+k)-(2k-h)
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GPT-4o mini
To subtract the expression \((h+k)-(2k-h)\), we can use the properties of operations such as the distributive property and the combining like terms. Here's the step-by-step breakdown:
1. **Distribute the negative sign** across the second expression:
\[
(h + k) - (2k - h) = h + k - 2k + h
\]
2. **Combine like terms**:
- Combine the \(h\) terms: \(h + h = 2h\)
- Combine the \(k\) terms: \(k - 2k = -k\)
So, we have:
\[
2h - k
\]
Therefore, the result of the subtraction \((h+k)-(2k-h)\) is:
\[
2h - k
\]
1. **Distribute the negative sign** across the second expression:
\[
(h + k) - (2k - h) = h + k - 2k + h
\]
2. **Combine like terms**:
- Combine the \(h\) terms: \(h + h = 2h\)
- Combine the \(k\) terms: \(k - 2k = -k\)
So, we have:
\[
2h - k
\]
Therefore, the result of the subtraction \((h+k)-(2k-h)\) is:
\[
2h - k
\]
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