What is expand 1/((x^2+a^2)^3) ?

The solution to expand 1/((x^2+a^2)^3) is 1/(x^6+3a^2x^4+3a^4x^2+a^6)

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expand 1/((x^2+a^2)^3)

expand

\frac{1}{( x ^{2} + a ^{2} ) ^{3}}

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

Solution steps

\frac{1}{( x ^{2} + a ^{2} ) ^{3}}

(x^{2} + a^{2})^{3} = x^{6} + 3 a^{2} x^{4} + 3 a^{4} x^{2} + a^{6}

= \frac{1}{x ^{6} + 3 a ^{2} x ^{4} + 3 a ^{4} x ^{2} + a ^{6}}

\frac{( s + 1 ) ^{2}}{s ( s + 2 ) ^{2}}

\frac{( 2 x ) ^{3}}{3}

\frac{1}{s ( s + 1 ) ( s + 4 )}

\frac{K ( s + 2 )}{( s + 10 ) s ( s - 1 )}

2 (\frac{2}{3} x + y = 6)

What is expand 1/((x^2+a^2)^3) ?
The solution to expand 1/((x^2+a^2)^3) is 1/(x^6+3a^2x^4+3a^4x^2+a^6)