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

how can you tell that the text is from a biography
Haow does Shakespeare use of supernatural to create suspence in macbeth
Find the unknown angle
In any energy conversion, some of the energy is lost to the environment as Question 5 options: electrical energy potential energy sound energy thermal energy
DeShawn uses 3/4 of a box of rice to cook dinner the portion he uses weighs 12 ounces right and solve an equation to find the weight of the full box of rice
A computer store bought a program at a cost of $10 and sold it for $13. Find the percent markup
True statements of atp
According to George Washington, what was one reason a president should veto a bill?
Read the excerpt from "The Blackfeet Creation." How do readers know that this excerpt is from a myth? The excerpt describes an animal called a muskrat. The
Find the coordinates of point X that lies along the directed line segment from Y(-8, 8) to T(-15, -13) and partitions the segment in the ratio of 5:2.