What is expand (t+e^{t-2})U(t-2) ?

The solution to expand (t+e^{t-2})U(t-2) is t^2U-2tU+e^{t-2}tU-2e^{t-2}U

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expand (t+e^{t-2})U(t-2)

expand

(t + e^{t - 2}) U (t - 2)

t^{2} U - 2 t U + e^{t - 2} t U - 2 e^{t - 2} U

Solution steps

(t + e^{t - 2}) U (t - 2)

= U (t + e^{t - 2}) (t - 2)

Expand

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

= U (t^{2} - 2 t + e^{t - 2} t - 2 e^{t - 2})

Expand

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

= t^{2} U - 2 t U + e^{t - 2} t U - 2 e^{t - 2} U

\frac{x}{( x - 2 ) ( x - 4 )}

(x - 37)^{2}

\frac{[ ( x + 3 ) ( x + 4 ) ( x + 7 ) ( x + 9 ) ]}{( x + 6 )}

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\frac{8 x - 42}{( x ^{2} + 1 ) ^{3}}

What is expand (t+e^{t-2})U(t-2) ?
The solution to expand (t+e^{t-2})U(t-2) is t^2U-2tU+e^{t-2}tU-2e^{t-2}U