What is (y-x^2)((2y(y-x^2))/(y^2-x)-1) ?

The solution to (y-x^2)((2y(y-x^2))/(y^2-x)-1) is ((y-x^2)(y^2+x-2yx^2))/(y^2-x)

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simplify (y-x^2)((2y(y-x^2))/(y^2-x)-1)

simplify

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

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

Solution steps

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

Join

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

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

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

\frac{a x + 1}{x ( x ^{2} - 16 ) ( x ^{2} + 2 )}

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

- 5 (\frac{1}{x} + 3)

(2 cos (x) - cos (2 x) \cdot 2)^{2}

(x - 411) (x + 411)

What is (y-x^2)((2y(y-x^2))/(y^2-x)-1) ?
The solution to (y-x^2)((2y(y-x^2))/(y^2-x)-1) is ((y-x^2)(y^2+x-2yx^2))/(y^2-x)