What is expand x(x^3e^{5x}+2) ?

The solution to expand x(x^3e^{5x}+2) is e^{5x}x^4+2x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand x(x^3e^{5x}+2)

expand

x (x^{3} e^{5 x} + 2)

e^{5 x} x^{4} + 2 x

Solution steps

x (x^{3} e^{5 x} + 2)

= x (e^{5 x} x^{3} + 2)

Apply the distributive law:

a (b + c) = ab + a c

a = x, b = x^{3} e^{5 x}, c = 2

= x x^{3} e^{5 x} + x \cdot 2

= e^{5 x} x^{3} x + 2 x

e^{5 x} x^{3} x = e^{5 x} x^{4}

= e^{5 x} x^{4} + 2 x

(b - \frac{1}{2})^{4}

(2 + 3) (1 - 2)

3 (x + 1) - 5 ln ∣ x + 1 ∣ + C

\frac{( 2 n + 1 ) ( n + 1 ) n}{6}

2 (2 + 2)

What is expand x(x^3e^{5x}+2) ?
The solution to expand x(x^3e^{5x}+2) is e^{5x}x^4+2x