What is expand x^3e^x-3(x^2e^x-2(e^xx-e^x))+C ?

The solution to expand x^3e^x-3(x^2e^x-2(e^xx-e^x))+C is x^3e^x-3e^xx^2+6e^xx-6e^x+C

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expand x^3e^x-3(x^2e^x-2(e^xx-e^x))+C

expand

x^{3} e^{x} - 3 (x^{2} e^{x} - 2 (e^{x} x - e^{x})) + C

x^{3} e^{x} - 3 e^{x} x^{2} + 6 e^{x} x - 6 e^{x} + C

Solution steps

x^{3} e^{x} - 3 (x^{2} e^{x} - 2 (e^{x} x - e^{x})) + C

= e^{x} x^{3} - 3 (e^{x} x^{2} - 2 (e^{x} x - e^{x})) + C

Expand

- 3 (x^{2} e^{x} - 2 (e^{x} x - e^{x})) : - 3 e^{x} x^{2} + 6 e^{x} x - 6 e^{x}

= x^{3} e^{x} - 3 e^{x} x^{2} + 6 e^{x} x - 6 e^{x} + C

cos (π (1 - n))

\frac{8 ( x + 8 )}{x - 64}

(\frac{1}{x + 2})^{2} + 2

- r^{3} (1 + sin^{2} (θ))

x y d x + (y^{4} - 3 x^{2}) d y

What is expand x^3e^x-3(x^2e^x-2(e^xx-e^x))+C ?
The solution to expand x^3e^x-3(x^2e^x-2(e^xx-e^x))+C is x^3e^x-3e^xx^2+6e^xx-6e^x+C