What is expand (t^2-2t)e^{1-t^3} ?

The solution to expand (t^2-2t)e^{1-t^3} is e^{1-t^3}t^2-2e^{1-t^3}t

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expand (t^2-2t)e^{1-t^3}

expand

(t^{2} - 2 t) e^{1 - t^{3}}

e^{1 - t^{3}} t^{2} - 2 e^{1 - t^{3}} t

Solution steps

(t^{2} - 2 t) e^{1 - t^{3}}

= e^{1 - t^{3}} (t^{2} - 2 t)

Apply the distributive law:

a (b - c) = ab - a c

a = e^{1 - t^{3}}, b = t^{2}, c = 2 t

= e^{1 - t^{3}} t^{2} - e^{1 - t^{3}} \cdot 2 t

= e^{1 - t^{3}} t^{2} - 2 e^{1 - t^{3}} t

(t - a) v (t^{'} - a)

\frac{d}{d t} ((x) (12 - 3 t^{3}))

\frac{3}{f ( x - 3 )}

\frac{m ( m + 5 ) + 4}{4 ( m + 5 ) ( m + 3 )}

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

What is expand (t^2-2t)e^{1-t^3} ?
The solution to expand (t^2-2t)e^{1-t^3} is e^{1-t^3}t^2-2e^{1-t^3}t