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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

(e^{- 2 t})^{2} = e^{- 4 t}

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

(e - 3 x) d x

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\frac{\partial}{\partial x} ((r) (a (cos (x) + 1)))

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

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