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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

expand

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

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

Solution steps

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

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

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

Simplify

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

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

\frac{6 s ^{2} + 26 s + 26}{( s + 1 ) ( s + 2 ) ( s + 3 )}

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

(y^{5} + x^{2} y^{3} = 1 + x^{4} y), f^{'} (x)

- \frac{s + 2}{s ^{4} ( s + 1 )}

3 (- 3 e + 2 f)

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