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

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

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

expand

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

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

Solution steps

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

Apply the distributive law:

a (b - c) = ab - a c

a = (- t), b = e^{- t}, c = e^{2 t}

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

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

Remove parentheses:

(- a) = - a, - (- a) = a

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

1 (0 - 3) (- x - 3 = y)

(x^{3} + 4)^{2} + x ln (2 x)

5 (2^{\frac{1}{5}} - 1)

(e^{x^{2}} y = \frac{1}{2} e^{x^{2}} + c) \frac{1}{e ^{x^{2}}}

\frac{3 ( 7 4 ^{\frac{2}{3}} - 5 7 ^{\frac{2}{3}} )}{4}

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