What is expand (y^4+kxy^4-x^3)dx ?

The solution to expand (y^4+kxy^4-x^3)dx is y^4dx+ky^4xdx-x^3dx

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expand (y^4+kxy^4-x^3)dx

expand

(y^{4} + k x y^{4} - x^{3}) d x

y^{4} d x + k y^{4} x d x - x^{3} d x

Solution steps

(y^{4} + k x y^{4} - x^{3}) d x

= (y^{4} + k y^{4} x - x^{3}) d x

Distribute parentheses

= d x y^{4} + d x k x y^{4} + d x (- x^{3})

Apply minus-plus rules

+ (- a) = - a

= y^{4} d x + k y^{4} x d x - x^{3} d x

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

\frac{d}{d x} ((L (x)) 2) - \frac{2}{( x - 1 ) ^{2}}

\frac{2 ( 3 - 2 y ^{2} - 8 y )}{3}

(z^{2} - 1) (z^{2} - 2 + 1) (z^{2} + 1) (z^{2} + 2 + 1)

\frac{12 z ^{2} + 4 z}{3 ( z - 2 ) ( 4 z - 1 )}

What is expand (y^4+kxy^4-x^3)dx ?
The solution to expand (y^4+kxy^4-x^3)dx is y^4dx+ky^4xdx-x^3dx