en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand x*(xe^x+e^x)

Solution

expand

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

Solution

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

Solution steps

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

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

Apply the distributive law:

a (b + c) = ab + a c

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

= xx e^{x} + x e^{x}

= e^{x} xx + e^{x} x

e^{x} xx = e^{x} x^{2}

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

Popular Examples

expand sin(4(t-pi))cos(2(t-pi))expand

sin (4 (t - π)) cos (2 (t - π))

expand (((2-2i))/2)^2 expand

(\frac{( 2 - 2 i )}{2})^{2}

d/(dy)((x)(x^4+y^2))

\frac{d}{d y} ((x) (x^{4} + y^{2}))

expand 2/(9(1-2x))expand

\frac{2}{9 ( 1 - 2 x )}

expand (30(3600+x^2))/(x^2)expand

\frac{30 ( 3600 + x ^{2} )}{x ^{2}}

Frequently Asked Questions (FAQ)

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