What is expand (28460)(x-38)e^{-x/(10)-0.5} ?

The solution to expand (28460)(x-38)e^{-x/(10)-0.5} is 28460e^{-x/(10)-0.5}x-1081480e^{-x/(10)-0.5}

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expand (28460)(x-38)e^{-x/(10)-0.5}

expand

(28460) (x - 38) e^{- \frac{x}{10} - 0.5}

28460 e^{- \frac{x}{10} - 0.5} x - 1081480 e^{- \frac{x}{10} - 0.5}

Solution steps

(28460) (x - 38) e^{- \frac{x}{10} - 0.5}

= (28460) e^{- \frac{x}{10} - 0.5} (x - 38)

Apply the distributive law:

a (b - c) = ab - a c

a = (28460) e^{- \frac{x}{10} - 0.5}, b = x, c = 38

= (28460) e^{- \frac{x}{10} - 0.5} x - (28460) e^{- \frac{x}{10} - 0.5} \cdot 38

= (28460) e^{- \frac{x}{10} - 0.5} x - (28460) \cdot 38 e^{- \frac{x}{10} - 0.5}

Simplify

(28460) e^{- \frac{x}{10} - 0.5} x - (28460) \cdot 38 e^{- \frac{x}{10} - 0.5} : 28460 e^{- \frac{x}{10} - 0.5} x - 1081480 e^{- \frac{x}{10} - 0.5}

= 28460 e^{- \frac{x}{10} - 0.5} x - 1081480 e^{- \frac{x}{10} - 0.5}

\frac{a ( 1 - e ^{2} )}{1 - e}

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\frac{( 33 x + 21 )}{( x ^{3} + 1 ) ( x - 1 )}

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(x + 7 + 149) (x + 7 - 149)

What is expand (28460)(x-38)e^{-x/(10)-0.5} ?
The solution to expand (28460)(x-38)e^{-x/(10)-0.5} is 28460e^{-x/(10)-0.5}x-1081480e^{-x/(10)-0.5}