What is expand 1/((8t+1)^6) ?

The solution to expand 1/((8t+1)^6) is 1/(262144t^6+196608t^5+61440t^4+10240t^3+960t^2+48t+1)

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expand 1/((8t+1)^6)

expand

\frac{1}{( 8 t + 1 ) ^{6}}

\frac{1}{262144 t ^{6} + 196608 t ^{5} + 61440 t ^{4} + 10240 t ^{3} + 960 t ^{2} + 48 t + 1}

Solution steps

\frac{1}{( 8 t + 1 ) ^{6}}

(8 t + 1)^{6} = 262144 t^{6} + 196608 t^{5} + 61440 t^{4} + 10240 t^{3} + 960 t^{2} + 48 t + 1

= \frac{1}{262144 t ^{6} + 196608 t ^{5} + 61440 t ^{4} + 10240 t ^{3} + 960 t ^{2} + 48 t + 1}

2 x (x + 1)

(e^{t} + e^{4 t})^{2}

\frac{( 1 - e ^{- 4 s} )}{s ( s ^{2} + 2 s + 17 )}

(x + y) \cdot (x^{^{'}} + z) \cdot (y + z)

\frac{7 s ^{3} - 2 ( e ^{- 2 s} + s ^{2} - s )}{s ( s ^{3} - s ^{2} - 2 )}

What is expand 1/((8t+1)^6) ?
The solution to expand 1/((8t+1)^6) is 1/(262144t^6+196608t^5+61440t^4+10240t^3+960t^2+48t+1)