Question

Simplify:

(2 - 3i)^2(2 + 3i)^2

Answer 1

first rearrange as
\[((2+3i)(2-3i))^2\]

Answer 2

multiplying a number by its complex conjugate is easy. you get
\[(a+bi)(a-bi)=a^2+b^2\]

Answer 3

in this case you get
\[(4+9)^2=13^2=169\]