What is expand 0.75(1-e^{-100t}) ?

The solution to expand 0.75(1-e^{-100t}) is 0.75-0.75e^{-100t}

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expand 0.75(1-e^{-100t})

expand

0.75 (1 - e^{- 100 t})

0.75 - 0.75 e^{- 100 t}

Solution steps

0.75 (1 - e^{- 100 t})

Apply the distributive law:

a (b - c) = ab - a c

a = 0.75, b = 1, c = e^{- 100 t}

= 0.75 \cdot 1 - 0.75 e^{- 100 t}

= 1 \cdot 0.75 - 0.75 e^{- 100 t}

Multiply the numbers:

1 \cdot 0.75 = 0.75

= 0.75 - 0.75 e^{- 100 t}

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What is expand 0.75(1-e^{-100t}) ?
The solution to expand 0.75(1-e^{-100t}) is 0.75-0.75e^{-100t}