What is expand (6+e^{-7t})^2 ?

The solution to expand (6+e^{-7t})^2 is 36+12e^{-7t}+e^{-14t}

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expand (6+e^{-7t})^2

expand

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

36 + 12 e^{- 7 t} + e^{- 14 t}

Solution steps

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

Apply Perfect Square Formula:

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

a = 6, b = e^{- 7 t}

= 6^{2} + 2 \cdot 6 e^{- 7 t} + (e^{- 7 t})^{2}

Simplify

6^{2} + 2 \cdot 6 e^{- 7 t} + (e^{- 7 t})^{2} : 36 + 12 e^{- 7 t} + e^{- 14 t}

= 36 + 12 e^{- 7 t} + e^{- 14 t}

(x + 5) ln (7)

9 a e^{3 x} + b (9 e^{3 x} x + 6 e^{3 x})

\frac{( x + 2 ) ^{2} x}{x - 3}

(u - 2) (3 d y - d u)

\frac{- 1 - 7 x}{2 ( - 3 + x )}

What is expand (6+e^{-7t})^2 ?
The solution to expand (6+e^{-7t})^2 is 36+12e^{-7t}+e^{-14t}