What is expand (7+e^{-3t})^2 ?

The solution to expand (7+e^{-3t})^2 is 49+14e^{-3t}+e^{-6t}

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expand (7+e^{-3t})^2

expand

(7 + e^{- 3 t})^{2}

49 + 14 e^{- 3 t} + e^{- 6 t}

Solution steps

(7 + e^{- 3 t})^{2}

Apply Perfect Square Formula:

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

a = 7, b = e^{- 3 t}

= 7^{2} + 2 \cdot 7 e^{- 3 t} + (e^{- 3 t})^{2}

Simplify

7^{2} + 2 \cdot 7 e^{- 3 t} + (e^{- 3 t})^{2} : 49 + 14 e^{- 3 t} + e^{- 6 t}

= 49 + 14 e^{- 3 t} + e^{- 6 t}

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What is expand (7+e^{-3t})^2 ?
The solution to expand (7+e^{-3t})^2 is 49+14e^{-3t}+e^{-6t}