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

The solution to expand 5xe^{3x}(3x+2) is 15e^{3x}x^2+10e^{3x}x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

expand

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

15 e^{3 x} x^{2} + 10 e^{3 x} x

Solution steps

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

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

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

Simplify

5 \cdot 3 e^{3 x} xx + 5 \cdot 2 e^{3 x} x : 15 e^{3 x} x^{2} + 10 e^{3 x} x

= 15 e^{3 x} x^{2} + 10 e^{3 x} x

\frac{6000}{( 1 + y ) ^{3}}

2 u ((2 x sin (ln (x)) + x cos (ln (x))))

\frac{( \frac{R cs + 1}{c} ) I}{cs}

(x^{2} + x + 1) e^{x}

\frac{6 + 26 x - x ^{2}}{( 2 x - 1 ) ( x + 2 ) ^{2}}

What is expand 5xe^{3x}(3x+2) ?
The solution to expand 5xe^{3x}(3x+2) is 15e^{3x}x^2+10e^{3x}x