Question

question
simplify the expression to a + bi form:
(8 + 8i)(-3 + 9i)

Explanation:

Step1: Apply FOIL method

$(8+8i)(-3+9i) = 8(-3) + 8(9i) + 8i(-3) + 8i(9i)$

Step2: Calculate each term

$= -24 + 72i - 24i + 72i^2$

Step3: Substitute $i^2=-1$

$= -24 + 72i - 24i + 72(-1)$

Step4: Combine constant terms

$= -24 - 72 + (72i - 24i)$

Step5: Combine like terms

$= -96 + 48i$

Answer:

$-96 + 48i$