Question

Simplify and provide your answer in the form of a+bi
.


(8-2i)-(-1+4i)
.

A


9−6i9-6i9−6i

B
7+2i7+2i7+2i

C
9+2i9+2i9+2i

D
34i34i34i

Answer 1

To simplify the expression \((8 - 2i) - (-1 + 4i)\), follow these steps:

1. Distribute the negative sign to the terms in the second parentheses:
\[
(8 - 2i) + (1 - 4i)
\]

2. Now, combine the real and imaginary parts:
- Real part: \(8 + 1 = 9\)
- Imaginary part: \(-2i - 4i = -6i\)

Putting it together, the simplified form is:
\[
9 - 6i
\]

Thus, the answer in the form \(a + bi\) is \(9 - 6i\).

The correct option is:
**A) \(9 - 6i\)**.