What is expand 1/((4x-1)^5) ?

The solution to expand 1/((4x-1)^5) is 1/(1024x^5-1280x^4+640x^3-160x^2+20x-1)

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expand 1/((4x-1)^5)

expand

\frac{1}{( 4 x - 1 ) ^{5}}

\frac{1}{1024 x ^{5} - 1280 x ^{4} + 640 x ^{3} - 160 x ^{2} + 20 x - 1}

Solution steps

\frac{1}{( 4 x - 1 ) ^{5}}

(4 x - 1)^{5} = 1024 x^{5} - 1280 x^{4} + 640 x^{3} - 160 x^{2} + 20 x - 1

= \frac{1}{1024 x ^{5} - 1280 x ^{4} + 640 x ^{3} - 160 x ^{2} + 20 x - 1}

(1 - t^{2}) d t

\frac{( 2 + x ) ^{6}}{( x ^{4} ( 2 x + 1 ) ( x + 4 ) )}

e^{i θ} (e^{i θ} + e^{- i θ} - 2)

\frac{( 1 )}{( x + a )}

L t (- cos (t) + 1)

What is expand 1/((4x-1)^5) ?
The solution to expand 1/((4x-1)^5) is 1/(1024x^5-1280x^4+640x^3-160x^2+20x-1)