What is expand 5(q+5)e^{(-q+5)/5} ?

The solution to expand 5(q+5)e^{(-q+5)/5} is 5e^{(-q+5)/5}q+25e^{(-q+5)/5}

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expand 5(q+5)e^{(-q+5)/5}

expand

5 (q + 5) e^{\frac{- q + 5}{5}}

5 e^{\frac{- q + 5}{5}} q + 25 e^{\frac{- q + 5}{5}}

Solution steps

5 (q + 5) e^{\frac{- q + 5}{5}}

= 5 e^{\frac{- q + 5}{5}} (q + 5)

Apply the distributive law:

a (b + c) = ab + a c

a = 5 e^{\frac{- q + 5}{5}}, b = q, c = 5

= 5 e^{\frac{- q + 5}{5}} q + 5 e^{\frac{- q + 5}{5}} \cdot 5

= 5 e^{\frac{- q + 5}{5}} q + 5 \cdot 5 e^{\frac{- q + 5}{5}}

Multiply the numbers:

5 \cdot 5 = 25

= 5 e^{\frac{- q + 5}{5}} q + 25 e^{\frac{- q + 5}{5}}

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What is expand 5(q+5)e^{(-q+5)/5} ?
The solution to expand 5(q+5)e^{(-q+5)/5} is 5e^{(-q+5)/5}q+25e^{(-q+5)/5}