we are given
[tex](-3+5i)^2[/tex]
we can expand it
[tex](-3+5i)^2=(-3+5i)(-3+5i)[/tex]
now, we can FOIL it
[tex](-3+5i)^2=-3\times -3-3\times 5i+5i\times -3+5i\times 5i[/tex]
now, we can simplify it
[tex](-3+5i)^2=9-15i-15i+25i^2[/tex]
we know that
[tex]i^2=-1[/tex]
so, we can plug it
[tex](-3+5i)^2=9-30i+25(-1)[/tex]
[tex](-3+5i)^2=9-30i-25[/tex]
[tex](-3+5i)^2=-16-30i[/tex]..............Answer
