Question

Evaluate the expression (6-i)-(-3+7i) and write the result in the form a+bi

Answer 1

To evaluate the expression \((6 - i) - (-3 + 7i)\), we can start by distributing the negative sign in front of the second term:

\[
(6 - i) - (-3 + 7i) = (6 - i) + (3 - 7i)
\]

Now, we can combine the real and imaginary parts:

1. **Combine the real parts**: \(6 + 3 = 9\)
2. **Combine the imaginary parts**: \(-i - 7i = -8i\)

Putting it all together, we have:

\[
9 - 8i
\]

Thus, the result in the form \(a + bi\) is:

\[
\boxed{9 - 8i}
\]