What is expand 22(1+9e^{-0.1t}) ?

The solution to expand 22(1+9e^{-0.1t}) is 22+198e^{-0.1t}

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expand 22(1+9e^{-0.1t})

expand

22 (1 + 9 e^{- 0.1 t})

22 + 198 e^{- 0.1 t}

Solution steps

22 (1 + 9 e^{- 0.1 t})

Apply the distributive law:

a (b + c) = ab + a c

a = 22, b = 1, c = 9 e^{- 0.1 t}

= 22 \cdot 1 + 22 \cdot 9 e^{- 0.1 t}

Simplify

22 \cdot 1 + 22 \cdot 9 e^{- 0.1 t} : 22 + 198 e^{- 0.1 t}

= 22 + 198 e^{- 0.1 t}

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What is expand 22(1+9e^{-0.1t}) ?
The solution to expand 22(1+9e^{-0.1t}) is 22+198e^{-0.1t}