What is expand (1-cos(5t-5))/((t-1)^2) ?

The solution to expand (1-cos(5t-5))/((t-1)^2) is (1-cos(5t-5))/(t^2-2t+1)

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expand (1-cos(5t-5))/((t-1)^2)

expand

\frac{1 - cos ( 5 t - 5 )}{( t - 1 ) ^{2}}

\frac{1 - cos ( 5 t - 5 )}{t ^{2} - 2 t + 1}

Solution steps

\frac{1 - cos ( 5 t - 5 )}{( t - 1 ) ^{2}}

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

= \frac{1 - cos ( 5 t - 5 )}{t ^{2} - 2 t + 1}

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

3 (4 e^{2 x} + e^{3 x})

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

3 a (a^{2} - 2 a = 4)

\frac{n ( n - 2 ) ( 2 n + 7 )}{6}

What is expand (1-cos(5t-5))/((t-1)^2) ?
The solution to expand (1-cos(5t-5))/((t-1)^2) is (1-cos(5t-5))/(t^2-2t+1)