Question

calcule os números complexos (-7+2i)x(-5-3i) ​

Answer 1

$Resolução \\ \begin{gathered} \boxed{ \begin{array}{lr}{ ( - 7 + 2i) \times ( - 5 - 3i) } \\ \\ - 7\underbrace{{  ( - 5 - 3i } {  ) }}_{ 35 + 21i } \: + 2i \underbrace{{  ( - 5 - 3i } {  )}}_{  - 10i - 6 {i} {}^{2} } \\ \\35 + 21i - 10i - {6i}^{2} \\ \begin{gathered} \boxed{ \begin{array}{lr}{  {i}^{2} = - 1 } \large \sf \: \large \sf \large \sf  \: \end{array}} \end{gathered} \\ 35 + 21i - 10i - 6 \times ( - 1) \\ 35 + 21i - 10i + 6 \\ 41 + 21i - 10i \\\color{green}\begin{gathered} \boxed{ \begin{array}{lr}{ 41 +11i } \large \sf \: \large \sf \large \sf  \: \end{array}} \end{gathered} \large \sf \: \large \sf \large \sf  \: \end{array}} \end{gathered}$