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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

(x - x)^{3}

(1 + y e^{x y}) d x + (2 y + x e^{x y}) d y

(4 x^{3} y^{3} - 2 x y) d x + (3 x^{4} y^{2} - x^{2}) d y

10 (lo g_{10} (61) + 12)

\frac{d}{d x} (2) - e^{x} (x - 7)

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