What is expand e^{2x}x(-3e^xx-7e^x) ?

The solution to expand e^{2x}x(-3e^xx-7e^x) is -3e^{3x}x^2-7e^{3x}x

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expand e^{2x}x(-3e^xx-7e^x)

expand

e^{2 x} x (- 3 e^{x} x - 7 e^{x})

- 3 e^{3 x} x^{2} - 7 e^{3 x} x

Solution steps

e^{2 x} x (- 3 e^{x} x - 7 e^{x})

Apply the distributive law:

a (b - c) = ab - a c

a = e^{2 x} x, b = - 3 e^{x} x, c = 7 e^{x}

= e^{2 x} x (- 3 e^{x} x) - e^{2 x} x \cdot 7 e^{x}

Apply minus-plus rules

+ (- a) = - a

= - 3 e^{x} e^{2 x} xx - 7 e^{x} e^{2 x} x

Simplify

- 3 e^{x} e^{2 x} xx - 7 e^{x} e^{2 x} x : - 3 e^{3 x} x^{2} - 7 e^{3 x} x

= - 3 e^{3 x} x^{2} - 7 e^{3 x} x

(3, - 1) y (- 5, 4)

\frac{6 - 7 x ^{2} - x ^{4}}{( 9 + x ^{2} ) ( 1 + x ^{2} )}

\frac{4 ( 1 + 26 )}{5}

\frac{\partial}{\partial t} ((x) (x^{3} + x t + 3 t^{3}))

50 (100 - e^{\frac{x}{2}})

What is expand e^{2x}x(-3e^xx-7e^x) ?
The solution to expand e^{2x}x(-3e^xx-7e^x) is -3e^{3x}x^2-7e^{3x}x