What is expand dy(4t^3y-21t^2-y) ?

The solution to expand dy(4t^3y-21t^2-y) is 4yt^3dy-21t^2dy-ydy

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expand dy(4t^3y-21t^2-y)

expand

d y (4 t^{3} y - 21 t^{2} - y)

4 y t^{3} d y - 21 t^{2} d y - y d y

Solution steps

d y (4 t^{3} y - 21 t^{2} - y)

= d y (4 y t^{3} - 21 t^{2} - y)

Distribute parentheses

= d y \cdot 4 t^{3} y + d y (- 21 t^{2}) + d y (- y)

Apply minus-plus rules

+ (- a) = - a

= 4 y t^{3} d y - 21 t^{2} d y - y d y

e^{(2 - 3 i) x}

(0.4 e^{6 T} - 0.4 e^{T}) 2 z

3 (\frac{x}{3} - 10 = - 7)

(sin (x) sin (y) - x e^{y}) d y

\frac{d}{d t} ((x) (t^{3} + t - 3))

What is expand dy(4t^3y-21t^2-y) ?
The solution to expand dy(4t^3y-21t^2-y) is 4yt^3dy-21t^2dy-ydy