What is expand (c-e^{rt})ce^{rt} ?

The solution to expand (c-e^{rt})ce^{rt} is c^2e^{rt}-ce^{2rt}

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expand (c-e^{rt})ce^{rt}

expand

(c - e^{r t}) c e^{r t}

c^{2} e^{r t} - c e^{2 r t}

Solution steps

(c - e^{r t}) c e^{r t}

= c e^{r t} (c - e^{r t})

Apply the distributive law:

a (b - c) = ab - a c

a = c e^{r t}, b = c, c = e^{r t}

= c e^{r t} c - c e^{r t} e^{r t}

= cc e^{r t} - c e^{r t} e^{r t}

Simplify

cc e^{r t} - c e^{r t} e^{r t} : c^{2} e^{r t} - c e^{2 r t}

= c^{2} e^{r t} - c e^{2 r t}

\frac{1}{( x - 1 ) ( x ^{2} + 9 )}

\frac{( x - 1 ) ( x - 3 )}{x + 2}

e^{- x} - e^{- x} (x + c) + (x + c) e^{x}

cos (v) (v d y + y d v) + (y d y + v y d y)

\frac{1}{5 ( 10 x + 25 )}

What is expand (c-e^{rt})ce^{rt} ?
The solution to expand (c-e^{rt})ce^{rt} is c^2e^{rt}-ce^{2rt}