What is expand 1/((x^2+5)^6) ?

The solution to expand 1/((x^2+5)^6) is 1/(x^{12)+30x^{10}+375x^8+2500x^6+9375x^4+18750x^2+15625}

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expand 1/((x^2+5)^6)

expand

\frac{1}{( x ^{2} + 5 ) ^{6}}

\frac{1}{x ^{12} + 30 x ^{10} + 375 x ^{8} + 2500 x ^{6} + 9375 x ^{4} + 18750 x ^{2} + 15625}

Solution steps

\frac{1}{( x ^{2} + 5 ) ^{6}}

(x^{2} + 5)^{6} = x^{12} + 30 x^{10} + 375 x^{8} + 2500 x^{6} + 9375 x^{4} + 18750 x^{2} + 15625

= \frac{1}{x ^{12} + 30 x ^{10} + 375 x ^{8} + 2500 x ^{6} + 9375 x ^{4} + 18750 x ^{2} + 15625}

\frac{( n + 1 ) ^{2} \cdot ( n + 2 ) ^{2}}{4}

\frac{2 s}{( s ^{2} + 4 s + 5 ) ^{2}}

\frac{4 s + 3}{6 s ( s - 1 )}

(3 x + π^{3}) (2 x - 7)

(x^{3} - x + 1) l e f t (x^{2} - x)

What is expand 1/((x^2+5)^6) ?
The solution to expand 1/((x^2+5)^6) is 1/(x^{12)+30x^{10}+375x^8+2500x^6+9375x^4+18750x^2+15625}