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

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

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

expand

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

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

Solution steps

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

(t + 1)^{2} = t^{2} + 2 t + 1

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

Expand

(t^{2} - 2 t) (t^{2} + 2 t + 1) : t^{4} - 3 t^{2} - 2 t

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

(\frac{1}{x ^{6} y} - \frac{1}{7}) (x^{\frac{4}{9}} y^{\frac{1}{3}})

(2 x^{2} + \frac{a}{x ^{3}})^{10}

sec ((7 x^{5} + 6 x + 7)^{2}) (35 x^{4} + 6)

2 (1 - x) (13.4784, 26)

0.025 (0.1 e^{- 4 t} - 0.4 t e^{- 4 t})^{2}

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