simplify the expression to a + bi form: (11 - 9i)(2 - 3i)

Explanation:

Step1: Expand the expression

$$ \begin{align*} (11 - 9i)(2 - 3i)&=11\times2-11\times3i-9i\times2+(-9i)\times(-3i)\ &=22-33i - 18i+27i^{2} \end{align*} $$

Step2: Simplify using (i^{2}=-1)

Since (i^{2}=-1), then (27i^{2}=-27). $$ \begin{align*} 22-33i - 18i+27i^{2}&=22-33i - 18i-27\ &=(22 - 27)+(-33i-18i)\ &=-5-51i \end{align*} $$

Answer:

(-5 - 51i)