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

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

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

expand

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

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

Solution steps

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

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

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}

\frac{1}{( x - 2 ) ^{3}}

\frac{( s ^{2} + 1 ) \cdot ( e ^{- s} - e ^{- 3 s} )}{s \cdot ( s ^{2} + 3 )}

(\frac{1}{x} - \frac{1}{y}) (\frac{1}{x} + \frac{1}{y})

(cos (2 t) - sin (2 t))^{2}

(i + 2)^{5}

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