IDNStudy.com, kung saan ang iyong mga tanong ay may malinaw at konkritong sagot. Sumali sa aming platform ng tanong at sagot upang makakuha ng eksaktong tugon sa lahat ng iyong mahahalagang tanong.
Answer:
To find expressions equivalent to \( 4x + 2 - (5x - 1) \), let's simplify the given expression:
\[ 4x + 2 - (5x - 1) \]
Distribute the negative sign through the parentheses:
\[ 4x + 2 - 5x + 1 \]
Combine like terms:
\[ (4x - 5x) + (2 + 1) \]
\[ -x + 3 \]
Now, let's evaluate each provided expression to see if it matches \(-x + 3\):
1. \( 4x + 2 + (-5x) - (-1) \)
Simplify inside the parentheses:
\[ 4x + 2 - 5x + 1 \]
Combine like terms:
\[ -x + 3 \]
This expression is equivalent to \(-x + 3\).
2. \( 4x + 2 - 5x - 1 \)
Simplify inside the parentheses:
\[ 4x - 5x + 2 - 1 \]
Combine like terms:
\[ -x + 1 \]
This expression is not equivalent to \(-x + 3\).
3. \( 4x - 5x + 2 - 1 \)
Combine like terms:
\[ -x + 1 \]
This expression is not equivalent to \(-x + 3\).
4. \(-x + 3\)
This expression is already in the simplified form and is equivalent to \(-x + 3\).
5. \( 4x + (-5x) + 2 + 1 \)
Simplify inside the parentheses:
\[ 4x - 5x + 2 + 1 \]
Combine like terms:
\[ -x + 3 \]
This expression is equivalent to \(-x + 3\).
So, the expressions that are equivalent to \( 4x + 2 - (5x - 1) \) are:
- \( 4x + 2 + (-5x) - (-1) \)
- \(-x + 3\)
- \( 4x + (-5x) + 2 + 1 \)