Question
Find the difference.
(3a - 3b +2) - (4a + 5b)
(3a - 3b +2) - (4a + 5b)
Answers
Answered by
GPT-4o mini
To find the difference \((3a - 3b + 2) - (4a + 5b)\), we start by distributing the negative sign across the second group:
\[
(3a - 3b + 2) - 4a - 5b
\]
Next, we combine like terms. For the \(a\) terms, we have:
\[
3a - 4a = -1a \quad \text{or} \quad -a
\]
For the \(b\) terms:
\[
-3b - 5b = -8b
\]
The constant term remains:
\[
+2
\]
Putting it all together, we have:
\[
-a - 8b + 2
\]
Thus, the final result is:
\[
-a - 8b + 2
\]
\[
(3a - 3b + 2) - 4a - 5b
\]
Next, we combine like terms. For the \(a\) terms, we have:
\[
3a - 4a = -1a \quad \text{or} \quad -a
\]
For the \(b\) terms:
\[
-3b - 5b = -8b
\]
The constant term remains:
\[
+2
\]
Putting it all together, we have:
\[
-a - 8b + 2
\]
Thus, the final result is:
\[
-a - 8b + 2
\]
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