What is expand ((x-1)y^4)/((x-1)^2+y^8) ?

The solution to expand ((x-1)y^4)/((x-1)^2+y^8) is (xy^4-y^4)/(x^2-2x+1+y^8)

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expand ((x-1)y^4)/((x-1)^2+y^8)

expand

\frac{( x - 1 ) y ^{4}}{( x - 1 ) ^{2} + y ^{8}}

\frac{x y ^{4} - y ^{4}}{x ^{2} - 2 x + 1 + y ^{8}}

Solution steps

\frac{( x - 1 ) y ^{4}}{( x - 1 ) ^{2} + y ^{8}}

Expand

(x - 1)^{2} + y^{8} : x^{2} - 2 x + 1 + y^{8}

= \frac{y ^{4} ( x - 1 )}{x ^{2} - 2 x + 1 + y ^{8}}

Expand

(x - 1) y^{4} : x y^{4} - y^{4}

= \frac{x y ^{4} - y ^{4}}{x ^{2} - 2 x + 1 + y ^{8}}

A (4, - 2, 3) B (5, - 4, 2)

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

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

\frac{2}{( s + 1 ) ( s ^{2} + 1 )}

\frac{1}{s ( a + s )}

What is expand ((x-1)y^4)/((x-1)^2+y^8) ?
The solution to expand ((x-1)y^4)/((x-1)^2+y^8) is (xy^4-y^4)/(x^2-2x+1+y^8)