What is expand 1/25 (-5t+e^{5t}-1) ?

The solution to expand 1/25 (-5t+e^{5t}-1) is -t/5+1/25 e^{5t}-1/25

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expand 1/25 (-5t+e^{5t}-1)

expand

\frac{1}{25} (- 5 t + e^{5 t} - 1)

- \frac{t}{5} + \frac{1}{25} e^{5 t} - \frac{1}{25}

Solution steps

\frac{1}{25} (- 5 t + e^{5 t} - 1)

Distribute parentheses

= \frac{1}{25} (- 5 t) + \frac{1}{25} e^{5 t} + \frac{1}{25} (- 1)

Apply minus-plus rules

+ (- a) = - a

= - 5 \cdot \frac{1}{25} t + \frac{1}{25} e^{5 t} - 1 \cdot \frac{1}{25}

Simplify

- 5 \cdot \frac{1}{25} t + \frac{1}{25} e^{5 t} - 1 \cdot \frac{1}{25} : - \frac{t}{5} + \frac{1}{25} e^{5 t} - \frac{1}{25}

= - \frac{t}{5} + \frac{1}{25} e^{5 t} - \frac{1}{25}

\frac{\frac{4 x}{x + 1}}{\frac{3 x ^{4}}{x ^{2} - 1}}

ln (x) (x + 9)

(1 - x - 3)^{2}

(e^{3 x}) (e^{3 x} + 3 x e^{3 x})

(\frac{6}{5 π , - 3.7}) (π, - 11)

What is expand 1/25 (-5t+e^{5t}-1) ?
The solution to expand 1/25 (-5t+e^{5t}-1) is -t/5+1/25 e^{5t}-1/25