What is expand-4/25 (5e^{5x}x-e^{5x}) ?

The solution to expand-4/25 (5e^{5x}x-e^{5x}) is -(4e^{5x}x)/5+4/25 e^{5x}

Popular >

expand-4/25 (5e^{5x}x-e^{5x})

expand

- \frac{4}{25} (5 e^{5 x} x - e^{5 x})

- \frac{4 e ^{5 x} x}{5} + \frac{4}{25} e^{5 x}

Solution steps

- \frac{4}{25} (5 e^{5 x} x - e^{5 x})

Apply the distributive law:

a (b - c) = ab - a c

a = - \frac{4}{25}, b = 5 e^{5 x} x, c = e^{5 x}

= - \frac{4}{25} \cdot 5 e^{5 x} x - (- \frac{4}{25}) e^{5 x}

Apply minus-plus rules

- (- a) = a

= - 5 \cdot \frac{4}{25} e^{5 x} x + \frac{4}{25} e^{5 x}

Simplify

- 5 \cdot \frac{4}{25} e^{5 x} x + \frac{4}{25} e^{5 x} : - \frac{4 e ^{5 x} x}{5} + \frac{4}{25} e^{5 x}

= - \frac{4 e ^{5 x} x}{5} + \frac{4}{25} e^{5 x}

\frac{( 2 + h ^{3} ) - 8}{h}

(x - 9 = - y^{2}) 1

(x^{3} + 2 x^{2} y + 9 x y + 18 y) d y

\frac{7 x ^{2}}{( x + 3 ) ( x + 5 ) ( x - 5 )}

(x + 7)^{(x + 7) 2}

What is expand-4/25 (5e^{5x}x-e^{5x}) ?
The solution to expand-4/25 (5e^{5x}x-e^{5x}) is -(4e^{5x}x)/5+4/25 e^{5x}