Question 244809
(3+4i)(1-2i)


Foil the binomials:


F ------- 3 * 1 = 3


O ------- - 2i * + 3 = - 6i


I ------- + 4i * 1 = + 4i


L ------- + 4i * - 2i = {{{-8i^2}}} = - 8(-1) = + 8


Putting them together, we get: 3 - 6i + 4i + 8


Combining like terms gives us:  {{{highlight_green(11 - 2i)}}}