What is expand x^2(1-y^2)(dy)/(dx)+y^2(1+x) ?

The solution to expand x^2(1-y^2)(dy)/(dx)+y^2(1+x) is x^2(dy)/(dx)-x^2(dy)/(dx)y^2+y^2+xy^2

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expand x^2(1-y^2)(dy)/(dx)+y^2(1+x)

expand

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

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

Solution steps

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

Expand

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

= x^{2} \frac{d y}{d x} - x^{2} \frac{d y}{d x} y^{2} + y^{2} (1 + x)

Expand

y^{2} (1 + x) : y^{2} + x y^{2}

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

2 (5 - 4)

\frac{x ^{2} - 4}{x ^{2} + 6 x + 9} \cdot \frac{x - 3}{x ^{3} - 9}

i (i z^{3} - 2 z)^{6} (3 z^{4} - z^{2} + 2 z + i z^{4})

(x - 2) \cdot (2 x - 5)

(x + 3 + x + 6) \cdot (x + 3)

What is expand x^2(1-y^2)(dy)/(dx)+y^2(1+x) ?
The solution to expand x^2(1-y^2)(dy)/(dx)+y^2(1+x) is x^2(dy)/(dx)-x^2(dy)/(dx)y^2+y^2+xy^2