taylorhartz161 taylorhartz161
  • 19-07-2018
  • Mathematics
contestada

Simplify the expression.
(-3 + 6i)(-3 + 5i)
a. -9 + 30i
b. -39
c. -39 + 3i
d. 21 + 3i

please help 

Respuesta :

anastasia168 anastasia168
  • 19-07-2018
The answer is -21-33i
Answer Link
carlosego
carlosego carlosego
  • 20-07-2018

For this case we have the following expression:

[tex] (-3 + 6i) (- 3 + 5i)
[/tex]

To solve the problem, we apply the distributive property.

We have then:

[tex] (9 - 15i) + (-18i + 30i ^ 2)
[/tex]

Rewriting we have:

[tex] 30i ^ 2 -33i + 9

30 (-1) -33i + 9

-30 -33i + 9

-33i - 21
[/tex]

Therefore, the answer for this case is:

[tex] -21-33i
[/tex]

Answer:

-21-33i

Note: review the options again. The answer does not seem to be among the options.

Answer Link

Otras preguntas

what is gravitation.
A car accelerates from 0 m/s to 30 m/s in 8 seconds. What was its acceleration?
Why can a constellation X not be seen in the summer, but only in winter?
How is India connected to the world through the sea routes? What are its benefits ?
how to solve 12ax-2ax+14x-2a+ -3x
Why do particles in gases and liquids diffuse, but not solids?
Which has the highest boiling point ? (a) CH3CH3 (b) CH3OH (c) C2H5OH (d) C3H8
a unit of volume with dimensions 1 unit × 1 unit × 1 unit
15cm3 block of gold weighs  2.8N it is carefully submerged in a tank of mercury. one cm3 of mercury weight 0.!3n a will the mercury be displaced by the gold?
Two of your employees call in sick just before your lunch hour rush. You have made several phone calls to your staff seeking additional coverage, but you are un