What is expand (4x^3y-15x^2-y)dx ?

The solution to expand (4x^3y-15x^2-y)dx is 4x^3ydx-15x^2dx-ydx

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expand (4x^3y-15x^2-y)dx

expand

(4 x^{3} y - 15 x^{2} - y) d x

4 x^{3} y d x - 15 x^{2} d x - y d x

Solution steps

(4 x^{3} y - 15 x^{2} - y) d x

Distribute parentheses

= d x \cdot 4 x^{3} y + d x (- 15 x^{2}) + d x (- y)

Apply minus-plus rules

+ (- a) = - a

= 4 x^{3} y d x - 15 x^{2} d x - y d x

(1 + 8 (2 x^{2} - x))

(3 y d x + 6 d x - x d y = 0) \frac{1}{x d x}

2 (x^{2} + 4 x + 8)^{2}

(2 x^{2} + 3 x) e^{x}

\frac{d}{d t} ((x) (4 (x^{2} + 1)))

What is expand (4x^3y-15x^2-y)dx ?
The solution to expand (4x^3y-15x^2-y)dx is 4x^3ydx-15x^2dx-ydx