What is expand (x-v*x+1)(vdx+xdv) ?

The solution to expand (x-v*x+1)(vdx+xdv) is vxdx+x^2dv-v^2xdx-vx^2dv+vdx+xdv

Popular >

expand (x-v*x+1)(vdx+xdv)

expand

(x - v \cdot x + 1) (v d x + x d v)

vx d x + x^{2} d v - v^{2} x d x - v x^{2} d v + v d x + x d v

Solution steps

(x - vx + 1) (v d x + x d v)

Distribute parentheses

= xv d x + xx d v + (- vx) v d x + (- vx) x d v + 1 \cdot v d x + 1 \cdot x d v

Apply minus-plus rules

+ (- a) = - a

= vx d x + xx d v - vvx d x - vxx d v + 1 \cdot v d x + 1 \cdot x d v

Simplify

vx d x + xx d v - vvx d x - vxx d v + 1 \cdot v d x + 1 \cdot x d v : vx d x + x^{2} d v - v^{2} x d x - v x^{2} d v + v d x + x d v

= vx d x + x^{2} d v - v^{2} x d x - v x^{2} d v + v d x + x d v

\frac{( 2 x - 5 )}{( x - 1 )}

\frac{6}{( s - 2 ) ^{4} ( s ^{2} - s + 4 )}

- 2 (2 x - 9 + 1 = 17 - 4 x)

a c + ab (e + d g + 2 df)

\frac{( ( x + 1 ) )}{( 4 )}

What is expand (x-v*x+1)(vdx+xdv) ?
The solution to expand (x-v*x+1)(vdx+xdv) is vxdx+x^2dv-v^2xdx-vx^2dv+vdx+xdv