Question

express in a+ib form ​

Answer 1

Step-by-step explanation:

(a+b)^3 = a^3+b^3+3a^2b+3ab^2

Now, (1/3+3i)^3

=> (1/3)^3+(3i)^3+3(1/3)^2(3i)+3(1/3)(3i)^2

=> 1/27 + 27i + 3(1/9)(3i) + 3(1/3)(9i)

=> 1/27 + 27i + i + 9i

=> 1/27 + 37i

=> 1/27 + i37