SOLUTION: I am trying to do complex conjugate and modulus numbers but I am unsure of how to do (2+3i)^3

Question 29852: I am trying to do complex conjugate and modulus numbers but I am unsure of how to do (2+3i)^3
Answer by Cintchr(481) (Show Source): You can put this solution on YOUR website!
Write the quantity 3 times as denoted by the exponent
foil the first two quantities
F : 2 * 2 = 4
O : 2 * 3i = 6i
I : 2 * 3i = 6i
L : 3i * 3i = 9i^2 = 9(-1) = -9

now foil this with the 3rd quantity from the start of the problem

F : -5 * 2 = -10
O : -5 * 3i = -15i
I : 12i * 2 = 24i
L : 12i * 3i = 36i^2 = 36(-1) = -36
combine like terms

RELATED QUESTIONS
How do you find the modulus of z= 3/(5+7i) ? I am asked to find the modulus and Arg(z), (answered by Alan3354)

hai i am doing B.Sc(maths) Ist year at madurai kamaraj university in correspondence. (answered by venugopalramana)

I am suppose to factor completely but am unsure how to do... (answered by josgarithmetic,lwsshak3,TimothyLamb,MathTherapy)

I am having trouble with these two questions. Can someone please explain. 1. Let z = a (answered by oscargut)

i am unsure of how to cube a simple complex number, please help! : {{{ (1-i)^3... (answered by Edwin McCravy)

State the complex conjugate and the modulus of... (answered by ikleyn)

How do you factor x^3-5x^2+60x? I got as far as x(x^2-5x+60) but I am unsure of how to... (answered by jim_thompson5910)

Dividing Complex numbers: The question: (5-6i)(4+7i)/(2+i)(5-6i) I tried multiplying... (answered by solver91311)

State the complex conjugate and modulus of the complex number -i (answered by MathLover1,ikleyn)