What is expand (e^{5x})*(e^{5x}+5xe^{5x}) ?

The solution to expand (e^{5x})*(e^{5x}+5xe^{5x}) is e^{10x}+5e^{10x}x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (e^{5x})*(e^{5x}+5xe^{5x})

expand

(e^{5 x}) \cdot (e^{5 x} + 5 x e^{5 x})

e^{10 x} + 5 e^{10 x} x

Solution steps

(e^{5 x}) (e^{5 x} + 5 x e^{5 x})

= (e^{5 x}) (e^{5 x} + 5 e^{5 x} x)

Apply the distributive law:

a (b + c) = ab + a c

a = (e^{5 x}), b = e^{5 x}, c = 5 x e^{5 x}

= (e^{5 x}) e^{5 x} + (e^{5 x}) \cdot 5 x e^{5 x}

= e^{5 x} (e^{5 x}) + 5 e^{5 x} x (e^{5 x})

Simplify

e^{5 x} (e^{5 x}) + 5 e^{5 x} x (e^{5 x}) : e^{10 x} + 5 e^{10 x} x

= e^{10 x} + 5 e^{10 x} x

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

\frac{( 36 x + 1 ) ^{\frac{3}{2}} - 1}{54}

\frac{( x + 1 ) ( x - 6 )}{2 ( x + 2 ) ( x - 3 )}

cos (x) (x + y)

(\frac{3 x ^{2}}{2} - \frac{1}{3 x})^{15}

What is expand (e^{5x})*(e^{5x}+5xe^{5x}) ?
The solution to expand (e^{5x})*(e^{5x}+5xe^{5x}) is e^{10x}+5e^{10x}x