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

The solution to expand y^2(dy+y)(x^2+x) is y^2x^2dy+y^2xdy+y^3x^2+y^3x

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

expand

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

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

Solution steps

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

Expand

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

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

Expand

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

= y^{2} x^{2} d y + y^{2} x d y + y^{3} x^{2} + y^{3} x

x^{6} + 6 y d x + (6 y^{2} + 6 x) d y

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

6 4^{\frac{1}{3}}

(x - 4) (- 2 x^{3} e^{- 2 x})

q (- 45) h (3, - 2)

What is expand y^2(dy+y)(x^2+x) ?
The solution to expand y^2(dy+y)(x^2+x) is y^2x^2dy+y^2xdy+y^3x^2+y^3x