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

The solution to expand (4+e^{-2t})^2 is 16+8e^{-2t}+e^{-4t}

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

expand

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

16 + 8 e^{- 2 t} + e^{- 4 t}

Solution steps

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

Apply Perfect Square Formula:

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

a = 4, b = e^{- 2 t}

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

Simplify

4^{2} + 2 \cdot 4 e^{- 2 t} + (e^{- 2 t})^{2} : 16 + 8 e^{- 2 t} + e^{- 4 t}

= 16 + 8 e^{- 2 t} + e^{- 4 t}

\frac{( k _{2} y + h _{2} x + 1 ) ^{2}}{k _{2} + h _{2}}

(3, 1, 0) \cdot (5 - x, 3 x - 1, 7)

\frac{( 3 x + 1 ) ^{3}}{9}

2 (\frac{5}{4}) (- s)

\frac{\frac{3}{4} ( 2 t sin ( 2 t ) + cos ( 2 t ) ) + C}{t}

What is expand (4+e^{-2t})^2 ?
The solution to expand (4+e^{-2t})^2 is 16+8e^{-2t}+e^{-4t}