Question

simplify the equation to a+bi form (-9+5i)-(-3+7i)

Answers

Answered by GPT-4o mini
To simplify the expression \((-9+5i)-(-3+7i)\), follow these steps:

1. Distribute the negative sign in front of the second set of parentheses:
\[
(-9 + 5i) + (3 - 7i)
\]

2. Combine the real parts and the imaginary parts:
- Real part: \(-9 + 3 = -6\)
- Imaginary part: \(5i - 7i = -2i\)

3. Combine both parts:
\[
-6 - 2i
\]

So the simplified form of the expression in \(a + bi\) form is:
\[
\boxed{-6 - 2i}
\]
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