What is expand (8e^{-2t}(1+23t))/5 ?

The solution to expand (8e^{-2t}(1+23t))/5 is (8e^{-2t})/5+(184e^{-2t}t)/5

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expand (8e^{-2t}(1+23t))/5

expand

\frac{8 e ^{- 2 t} ( 1 + 23 t )}{5}

\frac{8 e ^{- 2 t}}{5} + \frac{184 e ^{- 2 t} t}{5}

Solution steps

\frac{8 e ^{- 2 t} ( 1 + 23 t )}{5}

Expand

8 e^{- 2 t} (1 + 23 t) : 8 e^{- 2 t} + 184 e^{- 2 t} t

= \frac{8 e ^{- 2 t} + 184 e ^{- 2 t} t}{5}

Apply the fraction rule:

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

\frac{8 e ^{- 2 t} + 184 e ^{- 2 t} t}{5} = \frac{8 e ^{- 2 t}}{5} + \frac{184 e ^{- 2 t} t}{5}

= \frac{8 e ^{- 2 t}}{5} + \frac{184 e ^{- 2 t} t}{5}

\frac{a ( b - 2 )}{c - 3}

\frac{9 x ( 7 x + 9 )}{( 9 x - 7 ) ^{2}}

\frac{x - 5}{2 x ( 3 x - 4 )}

x^{2} (2 ln (x) + 5)

(3, 2 n) - (2 + m, 5)

What is expand (8e^{-2t}(1+23t))/5 ?
The solution to expand (8e^{-2t}(1+23t))/5 is (8e^{-2t})/5+(184e^{-2t}t)/5