What is expand 6/5 (1-e^{-20t}) ?

The solution to expand 6/5 (1-e^{-20t}) is 6/5-6/5 e^{-20t}

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expand 6/5 (1-e^{-20t})

expand

\frac{6}{5} (1 - e^{- 20 t})

\frac{6}{5} - \frac{6}{5} e^{- 20 t}

Solution steps

\frac{6}{5} (1 - e^{- 20 t})

Apply the distributive law:

a (b - c) = ab - a c

a = \frac{6}{5}, b = 1, c = e^{- 20 t}

= \frac{6}{5} \cdot 1 - \frac{6}{5} e^{- 20 t}

= 1 \cdot \frac{6}{5} - \frac{6}{5} e^{- 20 t}

Multiply:

1 \cdot \frac{6}{5} = \frac{6}{5}

= \frac{6}{5} - \frac{6}{5} e^{- 20 t}

\frac{s ( s + 20 )}{11}

3 (e^{x} x + 2 e^{x})

\frac{x}{( x - 1 ) ( x - 3 )}

2 sec (\frac{π}{4} (x + 3))

\frac{x - 3}{x ^{2} ( x - 1 )}

What is expand 6/5 (1-e^{-20t}) ?
The solution to expand 6/5 (1-e^{-20t}) is 6/5-6/5 e^{-20t}