en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (2x+3)e^x

Solution

expand

(2 x + 3) e^{x}

Solution

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

Solution steps

(2 x + 3) e^{x}

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

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

Popular Examples

expand ((3,5x^2}{12}+20x)(\frac{3.5x)/6)expand

(\frac{3 , 5 x ^{2}}{12} + 20 x) (\frac{3.5 x}{6})

expand (x-ln(x))(x+ln(x))expand

(x - ln (x)) (x + ln (x))

expand x^3*e^{3x^2}(6x+1)expand

x^{3} \cdot e^{3 x^{2}} (6 x + 1)

expand (20(s+1.5))/(s(s+0.5)(s+10))expand

\frac{20 ( s + 1.5 )}{s ( s + 0.5 ) ( s + 10 )}

simplify x(-x/(20)+300)simplify

x (- \frac{x}{20} + 300)

Frequently Asked Questions (FAQ)

What is expand (2x+3)e^x ?
The solution to expand (2x+3)e^x is 2e^xx+3e^x