What is expand (2x-4)e^{x^2-4x} ?

The solution to expand (2x-4)e^{x^2-4x} is 2e^{x^2-4x}x-4e^{x^2-4x}

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expand (2x-4)e^{x^2-4x}

expand

(2 x - 4) e^{x^{2} - 4 x}

2 e^{x^{2} - 4 x} x - 4 e^{x^{2} - 4 x}

Solution steps

(2 x - 4) e^{x^{2} - 4 x}

= e^{x^{2} - 4 x} (2 x - 4)

Apply the distributive law:

a (b - c) = ab - a c

a = e^{x^{2} - 4 x}, b = 2 x, c = 4

= e^{x^{2} - 4 x} \cdot 2 x - e^{x^{2} - 4 x} \cdot 4

= 2 e^{x^{2} - 4 x} x - 4 e^{x^{2} - 4 x}

\frac{6 s ^{2} + 5 s + 3}{( 3 s + 2 ) ( s ^{2} + s + 1 )}

\frac{- 8 s + 6 - 3 e ^{- 2 s}}{2 ( s + 1 ) ( s + 11 )}

2 (x + y = 50)

\frac{( π - 8 ) x}{4} - π + 8

p (n - m - 1)^{2}

What is expand (2x-4)e^{x^2-4x} ?
The solution to expand (2x-4)e^{x^2-4x} is 2e^{x^2-4x}x-4e^{x^2-4x}