What is expand [(x-2)ex](dx)/(dx) ?

The solution to expand [(x-2)ex](dx)/(dx) is ex^2(dx)/(dx)-2ex(dx)/(dx)

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expand [(x-2)ex](dx)/(dx)

expand

[(x - 2) e x] \frac{d x}{d x}

e x^{2} \frac{d x}{d x} - 2 e x \frac{d x}{d x}

Solution steps

((x - 2) e x) \frac{d x}{d x}

Remove parentheses:

(a) = a

= (x - 2) e x \frac{d x}{d x}

= e x (x - 2) \frac{d x}{d x}

Apply the distributive law:

a (b - c) = ab - a c

a = e x \frac{d x}{d x}, b = x, c = 2

= e x \frac{d x}{d x} x - e x \frac{d x}{d x} 2

= e xx \frac{d x}{d x} - 2 e x \frac{d x}{d x}

e xx \frac{d x}{d x} = e x^{2} \frac{d x}{d x}

= e x^{2} \frac{d x}{d x} - 2 e x \frac{d x}{d x}

[(x - 3) e x]

x - 0.6703 + 0.3297

(x^{2} + y^{2} e^{\frac{x}{y}}) y

\frac{2 x ^{2} + 9 x + 7}{( x + 2 ) ( x + 3 ) ( x + 4 )}

(y + x^{2} + y^{2}) d x

What is expand [(x-2)ex](dx)/(dx) ?
The solution to expand [(x-2)ex](dx)/(dx) is ex^2(dx)/(dx)-2ex(dx)/(dx)