What is expand (2x-ux)(udx+xdu) ?

The solution to expand (2x-ux)(udx+xdu) is 2xudx+2x^2du-xu^2dx-x^2udu

Popular >

expand (2x-ux)(udx+xdu)

expand

(2 x - ux) (u d x + x d u)

2 xu d x + 2 x^{2} d u - x u^{2} d x - x^{2} u d u

Solution steps

(2 x - ux) (u d x + x d u)

= (2 x - xu) (u d x + x d u)

Apply FOIL method:

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

a = 2 x, b = - ux, c = u d x, d = x d u

= 2 xu d x + 2 xx d u + (- ux) u d x + (- ux) x d u

Apply minus-plus rules

+ (- a) = - a

= 2 xu d x + 2 xx d u - xuu d x - xxu d u

Simplify

2 xu d x + 2 xx d u - xuu d x - xxu d u : 2 xu d x + 2 x^{2} d u - x u^{2} d x - x^{2} u d u

= 2 xu d x + 2 x^{2} d u - x u^{2} d x - x^{2} u d u

α (c, a + b + c, 4 a + 2 b + c)

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

\frac{5 ( 13 + 71 )}{49}

π (r^{2} x - \frac{1}{3} - x^{3})

0.8 (- y^{2} + 40 y - 391)^{2}

What is expand (2x-ux)(udx+xdu) ?
The solution to expand (2x-ux)(udx+xdu) is 2xudx+2x^2du-xu^2dx-x^2udu