Question

Simplify the expression to a + bi form:
left parenthesis, minus, 6, minus, 3, i, right parenthesis, minus, left parenthesis, 12, plus, 10, i, right parenthesis
(−6−3i)−(12+10i)

Answer 1

To simplify the expression \((−6−3i)−(12+10i)\), we will first distribute the negative sign through the terms in the second set of parentheses.

So we have:

\[
−6−3i−12−10i
\]

Next, we can combine the real parts and the imaginary parts separately:

1. Real parts:
\[
-6 - 12 = -18
\]

2. Imaginary parts:
\[
-3i - 10i = -13i
\]

Now, combining these results, we get:

\[
-18 - 13i
\]

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

\[
\boxed{-18 - 13i}
\]