What is expand (r^2-4r-5)*e^{rx} ?

The solution to expand (r^2-4r-5)*e^{rx} is e^{rx}r^2-4e^{rx}r-5e^{rx}

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expand (r^2-4r-5)*e^{rx}

expand

(r^{2} - 4 r - 5) \cdot e^{r x}

e^{r x} r^{2} - 4 e^{r x} r - 5 e^{r x}

Solution steps

(r^{2} - 4 r - 5) e^{r x}

= e^{r x} (r^{2} - 4 r - 5)

Distribute parentheses

= e^{r x} r^{2} + e^{r x} (- 4 r) + e^{r x} (- 5)

Apply minus-plus rules

+ (- a) = - a

= e^{r x} r^{2} - 4 e^{r x} r - 5 e^{r x}

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

(x - z)^{6}

\frac{1}{2 ( x + 5 ) ( x - 2 )}

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

64 + 8 X 3

What is expand (r^2-4r-5)*e^{rx} ?
The solution to expand (r^2-4r-5)*e^{rx} is e^{rx}r^2-4e^{rx}r-5e^{rx}