Simplify the expression (3 – 3i)3 by performing operations with pure imaginary numbers and complex numbers. (provide an explanation as i am terrible at calculus and need major assistance, ! )

a) –27 + 216i

b) –27 + 54i

c) –54 – 216i

d) –54 – 54i

D

Step-by-step explanation:

Given:

Find:

Solution:

Use the formula

Hence,

Now remind that

then

Substitute:

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2

27

step-by-step explanation: