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