What is expand (y-vy)(vdy+ydv) ?

The solution to expand (y-vy)(vdy+ydv) is vydy+y^2dv-v^2ydy-vy^2dv

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (y-vy)(vdy+ydv)

expand

(y - v y) (v d y + y d v)

v y d y + y^{2} d v - v^{2} y d y - v y^{2} d v

Solution steps

(y - v y) (v d y + y d v)

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

a = y, b = - v y, c = v d y, d = y d v

= y v d y + yy d v + (- v y) v d y + (- v y) y d v

Apply minus-plus rules

+ (- a) = - a

= v y d y + yy d v - vv y d y - v yy d v

Simplify

v y d y + yy d v - vv y d y - v yy d v : v y d y + y^{2} d v - v^{2} y d y - v y^{2} d v

= v y d y + y^{2} d v - v^{2} y d y - v y^{2} d v

x 2 + 7 x + 3

(3 x^{3} y + y) d y

\frac{1}{s ( s ^{2} - 2 s + 1 )}

6 x (3 - x) d x

(x = 7, - 2 x^{2} y) (x = x^{2} + 4)

What is expand (y-vy)(vdy+ydv) ?
The solution to expand (y-vy)(vdy+ydv) is vydy+y^2dv-v^2ydy-vy^2dv