What is expand ((x-1)(y+2))/((y-x)(y-x^3)) ?

The solution to expand ((x-1)(y+2))/((y-x)(y-x^3)) is (xy+2x-y-2)/(y^2-x^3y-xy+x^4)

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expand ((x-1)(y+2))/((y-x)(y-x^3))

expand

\frac{( x - 1 ) ( y + 2 )}{( y - x ) ( y - x ^{3} )}

\frac{x y + 2 x - y - 2}{y ^{2} - x ^{3} y - x y + x ^{4}}

Solution steps

\frac{( x - 1 ) ( y + 2 )}{( y - x ) ( y - x ^{3} )}

Expand

(y - x) (y - x^{3}) : y^{2} - x^{3} y - x y + x^{4}

= \frac{( x - 1 ) ( y + 2 )}{y ^{2} - x ^{3} y - x y + x ^{4}}

Expand

(x - 1) (y + 2) : x y + 2 x - y - 2

= \frac{x y + 2 x - y - 2}{y ^{2} - x ^{3} y - x y + x ^{4}}

3 (3 x^{2} - 5 x - 2)^{2}

(1 + i)^{5}

\frac{x ^{2} - 4 x + 9}{( x - 1 ) ^{2}}

(sin (\frac{x}{2}) + cos (\frac{x}{2}))^{2}

(e^{x} cos (2 x) - 2 e^{x} sin (2 x))^{2}

What is expand ((x-1)(y+2))/((y-x)(y-x^3)) ?
The solution to expand ((x-1)(y+2))/((y-x)(y-x^3)) is (xy+2x-y-2)/(y^2-x^3y-xy+x^4)