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

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

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

expand

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

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

Solution steps

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

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

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

Expand

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

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

x (x^{2} - x + \frac{1}{6}) (x - \frac{1}{2})

(sin (x) + cos (y)) (sin (y) - cos (x))

\frac{e ^{- 4 s} + 2 s}{s ( s - 2 )}

\frac{f ( x ) ( - 7 x + 8 )}{( 2 x - 6 ) ( 7 x + 4 )}

(x - 1) (x - 1 - 3) (x - 1 + 3)

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