What is expand 5(1-e^{-t/2}) ?

The solution to expand 5(1-e^{-t/2}) is 5-5e^{-t/2}

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expand 5(1-e^{-t/2})

expand

5 (1 - e^{- \frac{t}{2}})

5 - 5 e^{- \frac{t}{2}}

Solution steps

5 (1 - e^{- \frac{t}{2}})

Apply the distributive law:

a (b - c) = ab - a c

a = 5, b = 1, c = e^{- \frac{t}{2}}

= 5 \cdot 1 - 5 e^{- \frac{t}{2}}

Multiply the numbers:

5 \cdot 1 = 5

= 5 - 5 e^{- \frac{t}{2}}

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What is expand 5(1-e^{-t/2}) ?
The solution to expand 5(1-e^{-t/2}) is 5-5e^{-t/2}