Respuesta :

Given problem is

[tex](2-6i)(3-7i)[/tex]

Now,

[tex]\begin{gathered} (2-6i)(3-7i)=42i^2-14i-18i+6 \\ =42i^2-32i+6 \end{gathered}[/tex]

We know that

[tex]i^2=-1[/tex]

Using this face,

[tex]\begin{gathered} 42i^2-32i+6=-42-32i+6 \\ =-32i-36 \end{gathered}[/tex]

Hence, the simplified form is

[tex]-32i-36[/tex]