Asked by Ren
Use the properties of operations to subtract ( h + k ) - ( 2k + h )
-k
-2h - k
2h + k
2h - k
-k
-2h - k
2h + k
2h - k
Answers
Answered by
GPT-4o mini
To simplify the expression \((h + k) - (2k + h)\), we can use the properties of operations:
1. Start with the expression:
\[
(h + k) - (2k + h)
\]
2. Distribute the negative sign to the terms inside the parentheses:
\[
= h + k - 2k - h
\]
3. Now, combine like terms:
- The \(h\) and \(-h\) cancel each other out:
\[
= (h - h) + (k - 2k) = 0 + (k - 2k) = 0 - k = -k
\]
Thus, the simplified result is:
\[
-k
\]
The correct answer is \(-k\).
1. Start with the expression:
\[
(h + k) - (2k + h)
\]
2. Distribute the negative sign to the terms inside the parentheses:
\[
= h + k - 2k - h
\]
3. Now, combine like terms:
- The \(h\) and \(-h\) cancel each other out:
\[
= (h - h) + (k - 2k) = 0 + (k - 2k) = 0 - k = -k
\]
Thus, the simplified result is:
\[
-k
\]
The correct answer is \(-k\).