Question

Evaluate each expression.

Answer 1

(-3+5i)(-3-5i)

Answer 2

\[ (-3+5i)(-3-5i)\]
rewriting second expression
\[(5i-3)*-(5i+3)\]
now multiplying using the relation
\[(a+b)(a-b)=a^2-b^2\]
\[-(25i^2-9)\]
we know \(i^2=-1\)
so
\[-(-25-9)\]
we get
\[34\]

Answer 3

9-15i+15i-25i^2
=9-25(-1)
=9+25
=34
i^2=-1