Question

find the product and write the result in standard form.
(2 - 6i)(-7 - 4i)
(2 - 6i)(-7 - 4i) = \square
(simplify your answer. type your answer in the form a + bi.)

Explanation:

Step1: Apply FOIL method

$(2)(-7) + (2)(-4i) + (-6i)(-7) + (-6i)(-4i)$

Step2: Calculate each term

$-14 - 8i + 42i + 24i^2$

Step3: Substitute $i^2=-1$

$-14 + 34i + 24(-1)$

Step4: Simplify real terms

$-14 -24 + 34i$

Answer:

$-38 + 34i$