What is expand (4+6x)x^3e^{6x} ?

The solution to expand (4+6x)x^3e^{6x} is 4e^{6x}x^3+6e^{6x}x^4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (4+6x)x^3e^{6x}

expand

(4 + 6 x) x^{3} e^{6 x}

4 e^{6 x} x^{3} + 6 e^{6 x} x^{4}

Solution steps

(4 + 6 x) x^{3} e^{6 x}

= e^{6 x} x^{3} (4 + 6 x)

Apply the distributive law:

a (b + c) = ab + a c

a = x^{3} e^{6 x}, b = 4, c = 6 x

= x^{3} e^{6 x} \cdot 4 + x^{3} e^{6 x} \cdot 6 x

= 4 e^{6 x} x^{3} + 6 e^{6 x} x^{3} x

6 e^{6 x} x^{3} x = 6 e^{6 x} x^{4}

= 4 e^{6 x} x^{3} + 6 e^{6 x} x^{4}

4 \cdot (1 - \frac{cos ( 2 θ )}{2})

(x - 14)^{2}

\frac{\partial}{\partial t} ((z) (x^{2} y + x y^{2}))

\frac{1}{( 2 n + 1 ) ^{4}}

What is expand (4+6x)x^3e^{6x} ?
The solution to expand (4+6x)x^3e^{6x} is 4e^{6x}x^3+6e^{6x}x^4