Question

please solve this

$(1 - i {)}^{4}$
....​

Answer 1

Complex number :

$\mathsf{{(1\: -\: i)} ^{4}}$

$\Rightarrow$ $\mathsf</p><p>{({{1}^{2}\:+\:{i}^{2}\:-\:2i)}^{2}}$

$\Rightarrow$$\mathsf{({1\:-1\:-\:2i})^{2}}$

$\Rightarrow$$\mathsf{(-2{i}) ^{2}}$

$\Rightarrow$$\mathsf{4(\:-1\:)}$

➡️ $\boxed{\mathsf{-4}}$

We know that :

• $\boxed{\mathsf{{i} ^{2}\:=\:-1}}$

Answer 2

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