What is expand (t+3)^2*e^{5t} ?

The solution to expand (t+3)^2*e^{5t} is e^{5t}t^2+6e^{5t}t+9e^{5t}

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expand (t+3)^2*e^{5t}

expand

(t + 3)^{2} \cdot e^{5 t}

e^{5 t} t^{2} + 6 e^{5 t} t + 9 e^{5 t}

Solution steps

(t + 3)^{2} e^{5 t}

(t + 3)^{2} = t^{2} + 6 t + 9

= e^{5 t} (t^{2} + 6 t + 9)

= e^{5 t} (t^{2} + 6 t + 9)

Distribute parentheses

= e^{5 t} t^{2} + e^{5 t} \cdot 6 t + e^{5 t} \cdot 9

= e^{5 t} t^{2} + 6 e^{5 t} t + 9 e^{5 t}

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

2 ((1 + π^{2})^{\frac{3}{2}} - 1)

\frac{( s ^{2} + 4 s - 2 )}{( s - 2 ) ( s ^{2} + 5 s - 5 )}

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

\frac{( 2 - x ) \cdot n}{x}

What is expand (t+3)^2*e^{5t} ?
The solution to expand (t+3)^2*e^{5t} is e^{5t}t^2+6e^{5t}t+9e^{5t}