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

The solution to expand 1/((1+5x)^4) is 1/(1+20x+150x^2+500x^3+625x^4)

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

expand

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

\frac{1}{1 + 20 x + 150 x ^{2} + 500 x ^{3} + 625 x ^{4}}

Solution steps

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

(1 + 5 x)^{4} = 1 + 20 x + 150 x^{2} + 500 x^{3} + 625 x^{4}

= \frac{1}{1 + 20 x + 150 x ^{2} + 500 x ^{3} + 625 x ^{4}}

- 3 i x^{2} + (2 + 2 i) x + 2

\frac{x}{e ^{x^{2} - \frac{1}{2} x^{4} + \frac{1}{3} x^{6}}}

\frac{( k + 6 ) ( k + 4 )}{2}

\frac{k ( s + a )}{s ^{2} ( s + b )}

\frac{16 s + 7}{( 8 s ^{2} + 7 s + 2 ) ^{2}}

What is expand 1/((1+5x)^4) ?
The solution to expand 1/((1+5x)^4) is 1/(1+20x+150x^2+500x^3+625x^4)