Question

find the product and write the result in standard form.
(4 - 7i)(-3 - 8i)
(4 - 7i)(-3 - 8i) =
(simplify your answer. type your answer in the form a + bi.)

Explanation:

Step1: Apply FOIL method

$(4-7i)(-3-8i) = 4(-3) + 4(-8i) -7i(-3) -7i(-8i)$

Step2: Calculate each term

$= -12 -32i +21i +56i^2$

Step3: Substitute $i^2=-1$

$= -12 -32i +21i +56(-1)$

Step4: Combine constant terms

$= -12 -56 -32i +21i$

Step5: Combine like terms

$= -68 -11i$

Answer:

$-68 - 11i$