Question

Me ajudem por favor tenho que entregar hoje.

Dados Z1=1-3i e Z2=2+i ,calcule

A) Z1.Z2=

B) Z1²=

C) 2z1-3z2=

Answer 1

$\large\boxed{\begin{array}{l}\sf Z_1=1-3i\\\sf Z_2=2+i\\\tt a)~\sf Z_1\cdot Z_2=(1-3i)\cdot(2+i)\\\sf Z_1\cdot Z_2=2+i-6i-3i^2\\\sf Z_1\cdot Z_2=2+i-6i+3\\\sf Z_1\cdot Z_2=5-5i\end{array}}$

$\large\boxed{\begin{array}{l}\tt b)~\sf Z_1^2=(1-3i)^2\\\sf Z_1=1-6i+9i^2\\\sf Z_1=1-6i-9\\\sf Z_1=-8-6i\\\tt c)~\sf 2Z_1-3Z_2=2\cdot(1-3i)-3\cdot(2+i)\\\sf 2Z_1-3Z_2=2-6i-6-3i\\\sf 2Z_1-3Z_2=-4-9i\end{array}}$