Pickadilli Pickadilli
  • 10-04-2015
  • Mathematics
contestada

how can you rewrite the expression (8-5i)^2 in the form a+bi?

Respuesta :

TSO
TSO TSO
  • 10-04-2015
(a-b)^2 = a^2-2ab+b^2

(8-5i)^2 = 8^2-2(8)(5i)+(5i)^2

= 64-80i+25i^2

i^2=-1

So

= 64-80i+25(-1)

=64-25-80i

= 39 - 80i

which is your answer :)
Answer Link
Panoyin
Panoyin Panoyin
  • 10-04-2015
(8 - 5i)²
(8 - 5i)(8 - 5i)
64 - 40i - 40i + 25i²
64 - 80i + 25i²
64 - 80i + 25(-1)
64 - 25 - 80i
39 - 80i
Answer Link

Otras preguntas

Which of the three branches has the power to make laws? Enforce laws? Determine if laws are broken?
what direction is australia from the united states
How do you write 4,305,012 un expanded notation?
What was life like for many freedmen in the South after the Civil War?
What problem did socialist thinkers seek to solve?
What was the relationship between the second great awakening and the reform era?
How would an increase in salinity and a decrease in temperature affect the density of water?
The mass of a textbook is about 1.25 kilograms.About how many pounds is this?
What geographic feature allowed the roman empire to spread easily in this region ?
what is the mass of a car that has a speed of 30 m/s and a momentum of 45,000 kg, m/s
good job