Question

simplify.
(3 - 4i)(2 - 3i)
write your answer in the form a + bi.

Explanation:

Step1: Expand using FOIL method

$(3)(2) + (3)(-3i) + (-4i)(2) + (-4i)(-3i)$

Step2: Calculate each term

$6 - 9i - 8i + 12i^2$

Step3: Substitute $i^2=-1$

$6 - 17i + 12(-1)$

Step4: Simplify real terms

$6 - 12 - 17i = -6 - 17i$

Answer:

$-6 - 17i$