What is expand e^t(t^2+2t-1) ?

The solution to expand e^t(t^2+2t-1) is e^tt^2+2e^tt-e^t

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expand e^t(t^2+2t-1)

expand

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

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

Solution steps

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

Distribute parentheses

= e^{t} t^{2} + e^{t} \cdot 2 t + e^{t} (- 1)

Apply minus-plus rules

+ (- a) = - a

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

Multiply:

1 \cdot e^{t} = e^{t}

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

(1 - cos (x)) 2

\frac{d ^{2}}{d t ^{2}} ((h) (3 t^{2} - 2 t + 4 + e^{- 10 t}))

- 5 (- 7 - 2)

\frac{2 x c ( x - b )}{- 2 b + x + a}

(2 x + \frac{1}{3}) 2

What is expand e^t(t^2+2t-1) ?
The solution to expand e^t(t^2+2t-1) is e^tt^2+2e^tt-e^t