Question

12 can you do it so I can check my answer no need to explain

Answer 1

Given:

$(2+i)(-3+5i)$

apply the complex arithmetic rule,

$(a+bi)(c+di)=(ac-bd)+(ad+bc)i$$\begin{gathered} a=2 \\ b=1 \\ c=-3 \\ d=5 \end{gathered}$

thus,

$\begin{gathered} (2(-3)-1\cdot5)+(2\cdot5+1\cdot(-3))i \\ -11+7i \end{gathered}$