Question

Type the correct answer in the box.
Simplify the given expression into the form , where a and b are rational numbers.
2(-36-3i)+5(+2i)12-2i)

Answer 1

Answer:

$\huge\boxed{-8+8i}$

Step-by-step explanation:

$2(-36-3i)+(5+2i)(12-2i)\\\\\text{use the distributive property and FOIL}\\\\=(2)(-36)+(2)(-3i)+(5)(12)+(5)(-2i)+(2i)(12)+(2i)(-2i)\\\\=-72-6i+60-10i+24i-4i^2\\\\i=\sqrt{-1}\to i^2=-1\\\\=-72-6i+60-10i+24i-4(-1)=-72-6i+60-10i+24i+4\\\\=(-72+60+4)+(-6-10+24)=-8+8i$