What is expand x(y^2-1)-y(x^2-1)y'(x) ?

The solution to expand x(y^2-1)-y(x^2-1)y'(x) is xy^2-x-x^2yy'(x)+yy'(x)

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expand x(y^2-1)-y(x^2-1)y'(x)

expand

x (y^{2} - 1) - y (x^{2} - 1) y^{'} (x)

x y^{2} - x - x^{2} yy' (x) + yy' (x)

Solution steps

x (y^{2} - 1) - y (x^{2} - 1) y^{'} (x)

Expand

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

= x y^{2} - x - y (x^{2} - 1) y^{'} (x)

Expand

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

= x y^{2} - x - x^{2} y y^{'} (x) + y y^{'} (x)

\frac{d}{d t} ((Q (t)) k (Q (t) - 70))

(3 x + 2 i)^{2}

\frac{2 x + 5}{( x ^{2} + 2 ) ( x + 1 ) ^{''}}

(2 x + 1)!

(\frac{x ^{2} y ^{3}}{3} - 6) (\frac{x ^{2} y ^{3}}{3} + 8)

What is expand x(y^2-1)-y(x^2-1)y'(x) ?
The solution to expand x(y^2-1)-y(x^2-1)y'(x) is xy^2-x-x^2yy'(x)+yy'(x)