What is (t^2-2t)*(3e^{-t}) ?

The solution to (t^2-2t)*(3e^{-t}) is (3(t^2-2t))/(e^t)

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

simplify

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

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

Solution steps

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

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= 3 \cdot \frac{1}{e ^{t}} (t^{2} - 2 t)

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot ( t ^{2} - 2 t ) \cdot 3}{e ^{t}}

Multiply the numbers:

1 \cdot 3 = 3

= \frac{3 ( t ^{2} - 2 t )}{e ^{t}}

(e^{- \frac{x}{8}})^{2}

(95) (35)

(4 a^{2}) (9 a)

5 e^{- x}

3.5 \cdot 1 0^{- 3}

What is (t^2-2t)*(3e^{-t}) ?
The solution to (t^2-2t)*(3e^{-t}) is (3(t^2-2t))/(e^t)