What is expand (1+9.7e^{-0.4x})^2 ?

The solution to expand (1+9.7e^{-0.4x})^2 is 1+19.4e^{-0.4x}+94.09e^{-0.8x}

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expand (1+9.7e^{-0.4x})^2

expand

(1 + 9.7 e^{- 0.4 x})^{2}

1 + 19.4 e^{- 0.4 x} + 94.09 e^{- 0.8 x}

Solution steps

(1 + 9.7 e^{- 0.4 x})^{2}

Apply Perfect Square Formula:

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

a = 1, b = 9.7 e^{- 0.4 x}

= 1^{2} + 2 \cdot 1 \cdot 9.7 e^{- 0.4 x} + (9.7 e^{- 0.4 x})^{2}

Simplify

1^{2} + 2 \cdot 1 \cdot 9.7 e^{- 0.4 x} + (9.7 e^{- 0.4 x})^{2} : 1 + 19.4 e^{- 0.4 x} + 94.09 e^{- 0.8 x}

= 1 + 19.4 e^{- 0.4 x} + 94.09 e^{- 0.8 x}

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What is expand (1+9.7e^{-0.4x})^2 ?
The solution to expand (1+9.7e^{-0.4x})^2 is 1+19.4e^{-0.4x}+94.09e^{-0.8x}