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Can someone pls help me solve this with the multiplying stuff

Can someone pls help me solve this with the multiplying stuff-example-1

1 Answer

3 votes

(-6+7i)(2-i)

General rule for multipliting complex numbers:


(x+yi)(u+vi)=(xu-yv)+(xv+yu)i

Then, for the given multiplication you get:


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

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


(-6+7i)(2-i)=-5+20i

User Liang Xiao
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