Use properties of operation to subtract (h+k)-(2k-h)

Answer 1

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:

\[ 2h - k \]