en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand x(dvx+vdx)

Solution

expand

x (d vx + v d x)

Solution

x^{2} d v + xv d x

Solution steps

x (d vx + v d x)

= x (x d v + v d x)

Apply the distributive law:

a (b + c) = ab + a c

a = x, b = d vx, c = v d x

= x d vx + xv d x

= xx d v + xv d x

xx d v = x^{2} d v

= x^{2} d v + xv d x

Popular Examples

expand-(2(2x^2+1))/(x^3(x^2+1)^2)expand

- \frac{2 ( 2 x ^{2} + 1 )}{x ^{3} ( x ^{2} + 1 ) ^{2}}

expand (3x-7x)/(8x^2)+(6x^2+2x)/(8x^2)expand

\frac{3 x - 7 x}{8 x ^{2}} + \frac{6 x ^{2} + 2 x}{8 x ^{2}}

expand sqrt(2)(4ln(2)+4)expand

2 (4 ln (2) + 4)

expand (x-y^3+y^2sin(x))dy expand

(x - y^{3} + y^{2} sin (x)) d y

expand log_{10}(sqrt((2x)/y))expand

lo g_{10} (\frac{2 x}{y})

Frequently Asked Questions (FAQ)

What is expand x(dvx+vdx) ?
The solution to expand x(dvx+vdx) is x^2dv+xvdx