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

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

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

expand

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

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

Solution steps

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

Apply the distributive law:

a (b - c) = ab - a c

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

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

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

\frac{1}{2} (e^{4 t} + e^{- 2 t}) (6 t + 1)

\frac{1}{( 2 s + 1 ) ^{2} ( s - j w )}

(\frac{4 t + 2}{t} + t + 2 t^{3}) (e^{4 t} + t^{3} + 4 e^{2 t})

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

\frac{2 x ( - 2 x + 6 ) ^{3}}{81}

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