What is expand (dt)/((1-6t)^4) ?

The solution to expand (dt)/((1-6t)^4) is (dt)/(1-24t+216t^2-864t^3+1296t^4)

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expand (dt)/((1-6t)^4)

expand

\frac{d t}{( 1 - 6 t ) ^{4}}

\frac{d t}{1 - 24 t + 216 t ^{2} - 864 t ^{3} + 1296 t ^{4}}

Solution steps

\frac{d t}{( 1 - 6 t ) ^{4}}

(1 - 6 t)^{4} = 1 - 24 t + 216 t^{2} - 864 t^{3} + 1296 t^{4}

= \frac{d t}{1 - 24 t + 216 t ^{2} - 864 t ^{3} + 1296 t ^{4}}

\frac{( 3 x - 1 ) ( x + 1 )}{x ( x - 4 )}

- \frac{6 ( 4 161 - 21 )}{61}

\frac{11 S + 10}{10 S ( S + 10 )}

cos (3 t) sin (2 t) e^{4 t} U (t - π)

\frac{( x + 1 ) ^{2}}{49}

What is expand (dt)/((1-6t)^4) ?
The solution to expand (dt)/((1-6t)^4) is (dt)/(1-24t+216t^2-864t^3+1296t^4)