Answer:
\(-16+30i\) is the required expression.
Step-by-step explanation:
We have been given the expression:
\((3+5i)^2\)
We will simplified it to its maximum which is the equivalent expression of the given expression.
using \((a+b)^2=a^2+b^2+2ab\)
Here,\(a=3,b=5i\)
On substituting the values in the formula we get:
\((3+5i)^2=3^2+(5i)^2+2\cdot 3\cdot 5i\)
\(\Rightarrow (3+5i)^2=9-25+30i\)
\(\Rightarrow (3+5i)^2=-16+30i\)
Hence, \(-16+30i\) is the required expression
