What is expand (-2.9e^{-(0.4x-2.4)}+12.4)^2 ?

The solution to expand (-2.9e^{-(0.4x-2.4)}+12.4)^2 is 8.41e^{-0.8x+4.8}-71.92e^{-0.4x+2.4}+153.76

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expand (-2.9e^{-(0.4x-2.4)}+12.4)^2

expand

(- 2.9 e^{- (0.4 x - 2.4)} + 12.4)^{2}

8.41 e^{- 0.8 x + 4.8} - 71.92 e^{- 0.4 x + 2.4} + 153.76

Solution steps

(- 2.9 e^{- (0.4 x - 2.4)} + 12.4)^{2}

Expand

- (0.4 x - 2.4) : - 0.4 x + 2.4

= (- 2.9 e^{- 0.4 x + 2.4} + 12.4)^{2}

Apply Perfect Square Formula:

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

a = - 2.9 e^{- 0.4 x + 2.4}, b = 12.4

= (- 2.9 e^{- 0.4 x + 2.4})^{2} + 2 (- 2.9 e^{- 0.4 x + 2.4}) \cdot 12.4 + 12. 4^{2}

Simplify

(- 2.9 e^{- 0.4 x + 2.4})^{2} + 2 (- 2.9 e^{- 0.4 x + 2.4}) \cdot 12.4 + 12. 4^{2} : 8.41 e^{- 0.8 x + 4.8} - 71.92 e^{- 0.4 x + 2.4} + 153.76

= 8.41 e^{- 0.8 x + 4.8} - 71.92 e^{- 0.4 x + 2.4} + 153.76

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What is expand (-2.9e^{-(0.4x-2.4)}+12.4)^2 ?
The solution to expand (-2.9e^{-(0.4x-2.4)}+12.4)^2 is 8.41e^{-0.8x+4.8}-71.92e^{-0.4x+2.4}+153.76