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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

(\frac{1 + x}{2})^{5}

(x + 1) (x + 8 = 0)

\frac{6 ( 44 x ^{3} + 72 x ^{2} - 36 x - 63 )}{( 4 x ^{2} + 9 x + 6 ) ^{3}}

\frac{2 ( 2 x ^{2} - 3 )}{x - 2}

(e^{- i 2 t} - e^{- i 3 t}) (e^{+ i 2 t} - e^{+ i 3 t})

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