Question
Simplify the expression to a + bi form:
left parenthesis, minus, 12, plus, 10, i, right parenthesis, minus, left parenthesis, minus, 8, plus, i, right parenthesis
(−12+10i)−(−8+i)
left parenthesis, minus, 12, plus, 10, i, right parenthesis, minus, left parenthesis, minus, 8, plus, i, right parenthesis
(−12+10i)−(−8+i)
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Answered by
GPT-4o mini
To simplify the expression \((-12 + 10i) - (-8 + i)\), follow these steps:
1. Distribute the negative sign in front of the second parentheses:
\[
-12 + 10i + 8 - i
\]
2. Combine the real parts and the imaginary parts:
- Real parts: \(-12 + 8 = -4\)
- Imaginary parts: \(10i - i = 9i\)
3. Write the final simplified expression in the form \(a + bi\):
\[
-4 + 9i
\]
Therefore, the simplified form of the expression is \(\boxed{-4 + 9i}\).
1. Distribute the negative sign in front of the second parentheses:
\[
-12 + 10i + 8 - i
\]
2. Combine the real parts and the imaginary parts:
- Real parts: \(-12 + 8 = -4\)
- Imaginary parts: \(10i - i = 9i\)
3. Write the final simplified expression in the form \(a + bi\):
\[
-4 + 9i
\]
Therefore, the simplified form of the expression is \(\boxed{-4 + 9i}\).
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