What is expand 20000(x-5)e^{-x/4-1} ?

The solution to expand 20000(x-5)e^{-x/4-1} is 20000e^{-x/4-1}x-100000e^{-x/4-1}

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expand 20000(x-5)e^{-x/4-1}

expand

20000 (x - 5) e^{- \frac{x}{4} - 1}

20000 e^{- \frac{x}{4} - 1} x - 100000 e^{- \frac{x}{4} - 1}

Solution steps

20000 (x - 5) e^{- \frac{x}{4} - 1}

= 20000 e^{- \frac{x}{4} - 1} (x - 5)

Apply the distributive law:

a (b - c) = ab - a c

a = 20000 e^{- \frac{x}{4} - 1}, b = x, c = 5

= 20000 e^{- \frac{x}{4} - 1} x - 20000 e^{- \frac{x}{4} - 1} \cdot 5

= 20000 e^{- \frac{x}{4} - 1} x - 20000 \cdot 5 e^{- \frac{x}{4} - 1}

Multiply the numbers:

20000 \cdot 5 = 100000

= 20000 e^{- \frac{x}{4} - 1} x - 100000 e^{- \frac{x}{4} - 1}

- 3 a l e f t (- 2 a - 4)

(2 + 3)^{2}

e^{- n + 1} (1 + \frac{1}{n + 1})

- cos (x) sec (x) tan (x) + 2 sec (x) sin (x)

a (2 - 4) b (- 3.2)

What is expand 20000(x-5)e^{-x/4-1} ?
The solution to expand 20000(x-5)e^{-x/4-1} is 20000e^{-x/4-1}x-100000e^{-x/4-1}