What is expand k((e^{rt})/r+C) ?

The solution to expand k((e^{rt})/r+C) is (ke^{rt})/r+kC

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expand k((e^{rt})/r+C)

expand

k (\frac{e ^{r t}}{r} + C)

\frac{k e ^{r t}}{r} + k C

Solution steps

k (\frac{e ^{r t}}{r} + C)

Apply the distributive law:

a (b + c) = ab + a c

a = k, b = \frac{e ^{r t}}{r}, c = C

= k \frac{e ^{r t}}{r} + k C

Multiply

k \frac{e ^{r t}}{r} : \frac{k e ^{r t}}{r}

= \frac{k e ^{r t}}{r} + k C

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What is expand k((e^{rt})/r+C) ?
The solution to expand k((e^{rt})/r+C) is (ke^{rt})/r+kC