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]

Answer Link

Otras preguntas

Which two areas are in the temperate zone, and which two areas have the coldest climates?artic circletropic of cancerequatortropic of capricornantartic circle?
Write the explicit formula for the geometric sequence a1=-5 a2=20 a3=-80
If the sphere shown above has a radius of 12 units, then what is the volume of the sphere? 2,304 cubic units 2,880 cubic units 576 cubic units 1,152 cubic unit
Which nations provided military aid to north vietnam during the vietnam war?a:china and franceb:the united states and francec:the soviet union and the united st
12x=24 I'd appreciate help
How does fossil evidence determine the relationship of whale ancestors and their descendants
how do you work out digital time?
Joseph has a suspicious growth that doctors must test for cancerous cells. What type of procedure will Joseph most likely have?
Based on these ideas, what are the pro's and con's for both Sexual Reproduction and Asexual reproduction?
Which joiner shows a contrast between coordinate ideas? nevertheless consequently neither . . . nor likewise?