What is expand (t^2+e^t)*u*(t-3) ?

The solution to expand (t^2+e^t)*u*(t-3) is t^3u-3t^2u+e^ttu-3e^tu

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expand (t^2+e^t)u(t-3)

expand

(t^{2} + e^{t}) \cdot u \cdot (t - 3)

t^{3} u - 3 t^{2} u + e^{t} t u - 3 e^{t} u

Solution steps

(t^{2} + e^{t}) u (t - 3)

= u (t^{2} + e^{t}) (t - 3)

Expand

(t^{2} + e^{t}) (t - 3) : t^{3} - 3 t^{2} + e^{t} t - 3 e^{t}

= u (t^{3} - 3 t^{2} + e^{t} t - 3 e^{t})

Expand

u (t^{3} - 3 t^{2} + e^{t} t - 3 e^{t}) : t^{3} u - 3 t^{2} u + e^{t} t u - 3 e^{t} u

= t^{3} u - 3 t^{2} u + e^{t} t u - 3 e^{t} u

(\frac{x - 6}{5} - \frac{3 x + 1}{7})^{2}

\frac{1}{s ^{2} ( s ^{2} - 2 s + 5 )}

\frac{( s + 2 )}{s ( s ^{2} + 2 s + 2 )}

(a + \frac{c - a}{6}) (1 + x^{2})

(\frac{4}{3} - x)^{4}

What is expand (t^2+e^t)*u*(t-3) ?
The solution to expand (t^2+e^t)*u*(t-3) is t^3u-3t^2u+e^ttu-3e^tu