Question
Simplify by removing parentheses.
(a-b-c) -(a-c)
(a-b-c) -(a-c)
Answers
GPT-4o mini
To simplify the expression \((a-b-c) -(a-c)\), we can start by distributing the negative sign in front of the second parentheses:
\[
(a - b - c) - (a - c) = a - b - c - a + c
\]
Next, we can combine like terms:
1. The \(a\) from the first group and the \(-a\) from the second group cancel each other out.
2. We are left with \(-b\) and \(-c + c\).
This simplifies to:
\[
-b
\]
Thus, the simplified expression is:
\[
-b
\]
\[
(a - b - c) - (a - c) = a - b - c - a + c
\]
Next, we can combine like terms:
1. The \(a\) from the first group and the \(-a\) from the second group cancel each other out.
2. We are left with \(-b\) and \(-c + c\).
This simplifies to:
\[
-b
\]
Thus, the simplified expression is:
\[
-b
\]