What is expand vx(x^2+vx^2-2v^2x^2)dx ?

The solution to expand vx(x^2+vx^2-2v^2x^2)dx is vx^3dx+v^2x^3dx-2v^3x^3dx

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expand vx(x^2+vx^2-2v^2x^2)dx

expand

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

v x^{3} d x + v^{2} x^{3} d x - 2 v^{3} x^{3} d x

Solution steps

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

Distribute parentheses

= vx d x x^{2} + vx d xv x^{2} + vx d x (- 2 v^{2} x^{2})

Apply minus-plus rules

+ (- a) = - a

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

Simplify

v x^{2} x d x + vv x^{2} x d x - 2 v^{2} v x^{2} x d x : v x^{3} d x + v^{2} x^{3} d x - 2 v^{3} x^{3} d x

= v x^{3} d x + v^{2} x^{3} d x - 2 v^{3} x^{3} d x

(y - e^{- y}) (e^{y}) + e + y

2 - (4 (- 2) \cdot 5)

\frac{RT V - a}{V ( V - b )}

52 e^{4 x} - 4 (13 e^{4 t} - 11)

y (y^{'} (x) - 3 y = x^{2})

What is expand vx(x^2+vx^2-2v^2x^2)dx ?
The solution to expand vx(x^2+vx^2-2v^2x^2)dx is vx^3dx+v^2x^3dx-2v^3x^3dx