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} (- 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}

e^{- \frac{2 x}{y}} - y^{3} \cdot (x^{2} - x y - y^{2})

3 (2 x y \frac{d y}{d x} + y^{2})

\frac{( 3 x ^{2} - 3 s + 9 )}{( x ( x ^{2} + 9 ) )}

lo g_{2} (8) x^{2} y

\frac{[ S r ( 1 + r ) ^{n} ]}{12 ( ( 1 + r ) ^{n} - 1 )}

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