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

The solution to expand (x^2+1)y^2dy+(x^2+1)dy is x^2y^2dy+y^2dy+x^2dy+dy

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expand (x^2+1)y^2dy+(x^2+1)dy

expand

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

x^{2} y^{2} d y + y^{2} d y + x^{2} d y + d y

Solution steps

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

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

Expand

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

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

Expand

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

= x^{2} y^{2} d y + y^{2} d y + x^{2} d y + d y

- \frac{3 ( 3 x - 1 )}{8}

\frac{6}{x ( x + 10 )}

(x^{2} + x y + 3 y^{2}) d x

- \frac{x}{( x - 1 ) ( x - 2 )}

6 \frac{1}{9} (9)

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