wizardcool2005
wizardcool2005 wizardcool2005
  • 02-01-2021
  • Mathematics
contestada

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)

Type the correct answer in the box Simplify the given expression into the form where a and b are rational numbers 2363i52i122i class=

Respuesta :

gmany
gmany gmany
  • 02-01-2021

Answer:

[tex]\huge\boxed{-8+8i}[/tex]

Step-by-step explanation:

[tex]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[/tex]

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