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

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: I am trying to do complex conjugate and modulus numbers but I am unsure of how to do (2+3i)^3      Log On


   



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) About Me  (Show Source):
You can put this solution on YOUR website!
+%282%2B3i%29%5E3+ Write the quantity 3 times as denoted by the exponent
+highlight+%28%282%2B3i%29%282%2B3i%29%29%282%2B3i%29+ 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
+4+%2B+6i+%2B+6i+-9++
+%28-5+%2B+12i%29+ now foil this with the 3rd quantity from the start of the problem
+%28-5+%2B+12i%29%282+%2B+3i%29+
F : -5 * 2 = -10
O : -5 * 3i = -15i
I : 12i * 2 = 24i
L : 12i * 3i = 36i^2 = 36(-1) = -36
+-10+-+15i+%2B+24i+-+36+ combine like terms
+-46+-+9i+