What is expand (-e^{-2t}-1)^3 ?

The solution to expand (-e^{-2t}-1)^3 is -e^{-6t}-3e^{-4t}-3e^{-2t}-1

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expand (-e^{-2t}-1)^3

expand

(- e^{- 2 t} - 1)^{3}

- e^{- 6 t} - 3 e^{- 4 t} - 3 e^{- 2 t} - 1

Solution steps

(- e^{- 2 t} - 1)^{3}

Apply Perfect Cube Formula:

(a - b)^{3} = a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3}

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

= (- e^{- 2 t})^{3} - 3 (- e^{- 2 t})^{2} \cdot 1 + 3 (- e^{- 2 t}) \cdot 1^{2} - 1^{3}

Simplify

(- e^{- 2 t})^{3} - 3 (- e^{- 2 t})^{2} \cdot 1 + 3 (- e^{- 2 t}) \cdot 1^{2} - 1^{3} : - e^{- 6 t} - 3 e^{- 4 t} - 3 e^{- 2 t} - 1

= - e^{- 6 t} - 3 e^{- 4 t} - 3 e^{- 2 t} - 1

e x (3 - i)^{6}

vx (x^{2} + v x^{2} - 2 v^{2} x^{2}) d x

(y - e^{- y}) (e^{y}) + e + y

2 - (4 (- 2) \cdot 5)

\frac{RT V - a}{V ( V - b )}

What is expand (-e^{-2t}-1)^3 ?
The solution to expand (-e^{-2t}-1)^3 is -e^{-6t}-3e^{-4t}-3e^{-2t}-1