jamestkfunghpff

2023-02-18

Express the complex numbers in the form of $a+ib:\left(1-i{\right)}^{4}$

arropiatsqmzh

$\left(1-i{\right)}^{4}=\left[\left(1-i{\right)}^{2}{\right]}^{2}=\left(1+{i}^{2}-2i{\right)}^{2}\phantom{\rule{0ex}{0ex}}=\left(1-1-2i{\right)}^{2}=\left(-2i{\right)}^{2}\phantom{\rule{0ex}{0ex}}=4{i}^{2}=4×-1=-4$