What is expand 20000(1-e^{-0.05t})^2 ?

The solution to expand 20000(1-e^{-0.05t})^2 is 20000-40000e^{-0.05t}+20000e^{-0.1t}

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expand 20000(1-e^{-0.05t})^2

expand

20000 (1 - e^{- 0.05 t})^{2}

20000 - 40000 e^{- 0.05 t} + 20000 e^{- 0.1 t}

Solution steps

20000 (1 - e^{- 0.05 t})^{2}

(1 - e^{- 0.05 t})^{2} = 1 - 2 e^{- 0.05 t} + e^{- 0.1 t}

= 20000 (e^{- 0.1 t} - 2 e^{- 0.05 t} + 1)

Distribute parentheses

= 20000 \cdot 1 + 20000 (- 2 e^{- 0.05 t}) + 20000 e^{- 0.1 t}

Apply minus-plus rules

+ (- a) = - a

= 20000 \cdot 1 - 20000 \cdot 2 e^{- 0.05 t} + 20000 e^{- 0.1 t}

Simplify

20000 \cdot 1 - 20000 \cdot 2 e^{- 0.05 t} + 20000 e^{- 0.1 t} : 20000 - 40000 e^{- 0.05 t} + 20000 e^{- 0.1 t}

= 20000 - 40000 e^{- 0.05 t} + 20000 e^{- 0.1 t}

A (- 1, - 3) B (0, - 1) C (1, 1)

s (1 + \frac{s}{50})

\frac{e ^{- 6 x} ( e ^{6 x} - 1 ) ^{2}}{4} + 1

\frac{10 ( 10 + 730 )}{7}

\frac{( - 12 x ^{2} - 192 x + 2304 )}{( x + 8 ) ^{2}}

What is expand 20000(1-e^{-0.05t})^2 ?
The solution to expand 20000(1-e^{-0.05t})^2 is 20000-40000e^{-0.05t}+20000e^{-0.1t}