Respuesta :

[tex](-6+7i)(2-i)[/tex]

General rule for multipliting complex numbers:

[tex](x+yi)(u+vi)=(xu-yv)+(xv+yu)i[/tex]

Then, for the given multiplication you get:

[tex]\begin{gathered} (-6+7i)(2-i)=((-6)(2)-(7)(-1))+((-6)(-1)+(7)(2))i \\ \\ =(-12+7)+(6+14)i \\ \\ =-5+20i \end{gathered}[/tex]

Then, the product of given complex numbers is -5+20i

[tex](-6+7i)(2-i)=-5+20i[/tex]

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