Question

perform the operation and write the result in standard form. (simplify your answer completely.) (6 - 3i)(4 - 6i)

Explanation:

Step1: Use FOIL method

$(6 - 3i)(4 - 6i)=6\times4-6\times6i-3i\times4 + (-3i)\times(-6i)$
$=24-36i - 12i+18i^{2}$

Step2: Recall $i^{2}=-1$

Since $i^{2}=-1$, we have $24-36i - 12i+18\times(-1)$
$=24-36i - 12i - 18$

Step3: Combine like - terms

$(24 - 18)+(-36i-12i)=6-48i$

Answer:

$6 - 48i$