What is expand (k(k+1))/((k^2+1)(k-1)) ?

The solution to expand (k(k+1))/((k^2+1)(k-1)) is (k^2+k)/(k^3-k^2+k-1)

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expand (k(k+1))/((k^2+1)(k-1))

expand

\frac{k ( k + 1 )}{( k ^{2} + 1 ) ( k - 1 )}

\frac{k ^{2} + k}{k ^{3} - k ^{2} + k - 1}

Solution steps

\frac{k ( k + 1 )}{( k ^{2} + 1 ) ( k - 1 )}

Expand

(k^{2} + 1) (k - 1) : k^{3} - k^{2} + k - 1

= \frac{k ( k + 1 )}{k ^{3} - k ^{2} + k - 1}

Expand

k (k + 1) : k^{2} + k

= \frac{k ^{2} + k}{k ^{3} - k ^{2} + k - 1}

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What is expand (k(k+1))/((k^2+1)(k-1)) ?
The solution to expand (k(k+1))/((k^2+1)(k-1)) is (k^2+k)/(k^3-k^2+k-1)