What is expand (sqrt(t^4+1)(t-1))/(t(t^2-2)) ?

The solution to expand (sqrt(t^4+1)(t-1))/(t(t^2-2)) is (tsqrt(t^4+1)-sqrt(t^4+1))/(t^3-2t)

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expand (sqrt(t^4+1)(t-1))/(t(t^2-2))

expand

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

\frac{t t ^{4} + 1 - t ^{4} + 1}{t ^{3} - 2 t}

Solution steps

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

Expand

t (t^{2} - 2) : t^{3} - 2 t

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

Expand

t^{4} + 1 (t - 1) : t t^{4} + 1 - t^{4} + 1

= \frac{t t ^{4} + 1 - t ^{4} + 1}{t ^{3} - 2 t}

(2 x - 5 y + 2) d x + (1 - 5 x - 6 y) d y

(x + (\frac{1}{x}))^{8}

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

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

\frac{50 cos ( 8 x )}{( cos ( x ) - 1 ) ^{2}}

What is expand (sqrt(t^4+1)(t-1))/(t(t^2-2)) ?
The solution to expand (sqrt(t^4+1)(t-1))/(t(t^2-2)) is (tsqrt(t^4+1)-sqrt(t^4+1))/(t^3-2t)