What is expand v_{0}(1-e^{1/t}) ?

The solution to expand v_{0}(1-e^{1/t}) is v_{0}-e^{1/t}v_{0}

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expand v_{0}(1-e^{1/t})

expand

v_{0} (1 - e^{\frac{1}{t}})

v_{0} - e^{\frac{1}{t}} v_{0}

Solution steps

v_{0} (1 - e^{\frac{1}{t}})

Apply the distributive law:

a (b - c) = ab - a c

a = v_{0}, b = 1, c = e^{\frac{1}{t}}

= v_{0} \cdot 1 - v_{0} e^{\frac{1}{t}}

= 1 \cdot v_{0} - e^{\frac{1}{t}} v_{0}

Multiply:

1 \cdot v_{0} = v_{0}

= v_{0} - e^{\frac{1}{t}} v_{0}

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What is expand v_{0}(1-e^{1/t}) ?
The solution to expand v_{0}(1-e^{1/t}) is v_{0}-e^{1/t}v_{0}