What is expand (y(y^4-4))/((x-y^4)^2) ?

The solution to expand (y(y^4-4))/((x-y^4)^2) is (y^5-4y)/(x^2-2y^4x+y^8)

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expand (y(y^4-4))/((x-y^4)^2)

expand

\frac{y ( y ^{4} - 4 )}{( x - y ^{4} ) ^{2}}

\frac{y ^{5} - 4 y}{x ^{2} - 2 y ^{4} x + y ^{8}}

Solution steps

\frac{y ( y ^{4} - 4 )}{( x - y ^{4} ) ^{2}}

(x - y^{4})^{2} = x^{2} - 2 y^{4} x + y^{8}

= \frac{y ( y ^{4} - 4 )}{x ^{2} - 2 y ^{4} x + y ^{8}}

Expand

y (y^{4} - 4) : y^{5} - 4 y

= \frac{y ^{5} - 4 y}{x ^{2} - 2 y ^{4} x + y ^{8}}

\frac{4 x}{( 1 - x ^{2} ) ^{2}}

x^{2} e^{2 x} (x + 3)

\frac{d}{d t} ((x) (cos (2 t) + sin (2 t) + \frac{1}{5} e^{t}))

(e^{2 t o + 2 a} + e^{- 2 t o - 2 a}) (e^{2 t} + e^{- 2 t})

e^{a t} u (t - 1)

What is expand (y(y^4-4))/((x-y^4)^2) ?
The solution to expand (y(y^4-4))/((x-y^4)^2) is (y^5-4y)/(x^2-2y^4x+y^8)