What is expand (xy^2-cos(x)sin(x))/(y(1-x^2)) ?

The solution to expand (xy^2-cos(x)sin(x))/(y(1-x^2)) is (xy^2-cos(x)sin(x))/(y-x^2y)

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expand (xy^2-cos(x)sin(x))/(y(1-x^2))

expand

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

\frac{x y ^{2} - cos ( x ) sin ( x )}{y - x ^{2} y}

Solution steps

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

Expand

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

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

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

π (- \frac{13}{4 e ^{4}} + \frac{1}{4})

\frac{( 5 x - 13 )}{( x - 3 ) ( x - 2 )}

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

4 (1 - i)^{7}

What is expand (xy^2-cos(x)sin(x))/(y(1-x^2)) ?
The solution to expand (xy^2-cos(x)sin(x))/(y(1-x^2)) is (xy^2-cos(x)sin(x))/(y-x^2y)