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

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

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expand ((k^2-x^2)^3)/(x^2+a^2)

expand

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

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

Solution steps

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

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

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

\int sec (x) tan (x) 1 + sec (x) d x

f (x) = x ∣ x ∣

\int_{4}^{- 2} \frac{1}{2} d x

x^{^{'}} = x + 3

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