How do you simplify (8-6i)(-4-4i)?

1 Answer
Dec 3, 2016

-56-8i

Explanation:

(color(red)8color(blue)(-6i))(color(magenta)(-4)color(green)(-4i))

Multiply each term in the first expression by each term in the second expression (or FOIL).

(color(red)8 * color(magenta)(-4))+(color(red)8 * color(green)(-4i))+(color(blue)(-6i) * color(magenta)(-4))+(color(blue)(-6i) * color(green)(-4i))

-32-32i+24i+24i^2

Combine like terms

-32-8i+24i^2

Recall that i^2=-1

-32-8i +24(-1)

-32-8i-24

Again, combine like terms

-56-8i