What is expand (t^2-8t+19)e^{st} ?

The solution to expand (t^2-8t+19)e^{st} is e^{ts}t^2-8e^{ts}t+19e^{ts}

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expand (t^2-8t+19)e^{st}

expand

(t^{2} - 8 t + 19) e^{s t}

e^{t s} t^{2} - 8 e^{t s} t + 19 e^{t s}

Solution steps

(t^{2} - 8 t + 19) e^{s t}

= e^{t s} (t^{2} - 8 t + 19)

Distribute parentheses

= e^{s t} t^{2} + e^{s t} (- 8 t) + e^{s t} \cdot 19

Apply minus-plus rules

+ (- a) = - a

= e^{t s} t^{2} - 8 e^{t s} t + 19 e^{t s}

x (156 - \frac{x}{10})

(a 2 + b 3)^{2}

\frac{1}{16} (x - 5) (x - 11)

\frac{2}{3} (2 x - 1 + (- (3 x + 2)) = \frac{5}{2} (3 x - 5))

100 (569 + 39)

What is expand (t^2-8t+19)e^{st} ?
The solution to expand (t^2-8t+19)e^{st} is e^{ts}t^2-8e^{ts}t+19e^{ts}