What is expand (e^j-e^{-j})^2 ?

The solution to expand (e^j-e^{-j})^2 is e^{2j}-2+e^{-2j}

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expand (e^j-e^{-j})^2

expand

(e^{j} - e^{- j})^{2}

e^{2 j} - 2 + e^{- 2 j}

Solution steps

(e^{j} - e^{- j})^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

a = e^{j}, b = e^{- j}

= (e^{j})^{2} - 2 e^{j} e^{- j} + (e^{- j})^{2}

Simplify

(e^{j})^{2} - 2 e^{j} e^{- j} + (e^{- j})^{2} : e^{2 j} - 2 + e^{- 2 j}

= e^{2 j} - 2 + e^{- 2 j}

l im x \Rightarrow 1 (4 x^{2} - 7 x + 5)

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(e^{i θ} + e^{- i θ})^{3}

What is expand (e^j-e^{-j})^2 ?
The solution to expand (e^j-e^{-j})^2 is e^{2j}-2+e^{-2j}