What is expand (1-e^{2t})^2 ?

The solution to expand (1-e^{2t})^2 is 1-2e^{2t}+e^{4t}

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expand (1-e^{2t})^2

expand

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

1 - 2 e^{2 t} + e^{4 t}

Solution steps

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

Apply Perfect Square Formula:

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

a = 1, b = e^{2 t}

= 1^{2} - 2 \cdot 1 \cdot e^{2 t} + (e^{2 t})^{2}

Simplify

1^{2} - 2 \cdot 1 \cdot e^{2 t} + (e^{2 t})^{2} : 1 - 2 e^{2 t} + e^{4 t}

= 1 - 2 e^{2 t} + e^{4 t}

(1 - 2 cos (t))^{2}

\frac{1}{( 8 t + 1 ) ^{6}}

2 x (x + 1)

(e^{t} + e^{4 t})^{2}

\frac{( 1 - e ^{- 4 s} )}{s ( s ^{2} + 2 s + 17 )}

What is expand (1-e^{2t})^2 ?
The solution to expand (1-e^{2t})^2 is 1-2e^{2t}+e^{4t}