What is expand (3xy^2-4y)+(3x-4x^2y)(dy)/(dx) ?

The solution to expand (3xy^2-4y)+(3x-4x^2y)(dy)/(dx) is 3xy^2-4y+3x(dy)/(dx)-4x^2y(dy)/(dx)

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expand (3xy^2-4y)+(3x-4x^2y)(dy)/(dx)

expand

(3 x y^{2} - 4 y) + (3 x - 4 x^{2} y) \frac{d y}{d x}

3 x y^{2} - 4 y + 3 x \frac{d y}{d x} - 4 x^{2} y \frac{d y}{d x}

Solution steps

(3 x y^{2} - 4 y) + (3 x - 4 x^{2} y) \frac{d y}{d x}

Expand

\frac{d y}{d x} (3 x - 4 x^{2} y) : 3 x \frac{d y}{d x} - 4 x^{2} y \frac{d y}{d x}

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

Remove parentheses:

(a) = a

= 3 x y^{2} - 4 y + 3 x \frac{d y}{d x} - 4 x^{2} y \frac{d y}{d x}

(x^{2} + 6) (1 - x)

(1 + \frac{2 i}{n})^{2}

(- 1 + i 3)^{11}

(2 x - 2)^{2}

(3 - 2 i)^{6}

What is expand (3xy^2-4y)+(3x-4x^2y)(dy)/(dx) ?
The solution to expand (3xy^2-4y)+(3x-4x^2y)(dy)/(dx) is 3xy^2-4y+3x(dy)/(dx)-4x^2y(dy)/(dx)