What is expand (derivative of (y(y^2+2xy)))/(x^2) ?

The solution to expand (derivative of (y(y^2+2xy)))/(x^2) is (derivative of y^3+2xy^2)/(x^2)

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expand (derivative of (y(y^2+2xy)))/(x^2)

expand

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

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

Solution steps

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

Remove parentheses:

(a) = a

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

Expand

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

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

(t + e^{t - 5}) U (t - 5)

3 (5 + 7)

2 \frac{d y}{d x} - (10 - 4 sin (t)) y

\frac{e ^{x}}{( e ^{x} + 1 ) ^{2}}

(2 - 8 - x)^{2}

What is expand (derivative of (y(y^2+2xy)))/(x^2) ?
The solution to expand (derivative of (y(y^2+2xy)))/(x^2) is (derivative of y^3+2xy^2)/(x^2)