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

The solution to expand 1/((3S+1)S^2(S^2+1)) is 1/(3S^5+3S^3+S^4+S^2)

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expand 1/((3S+1)S^2(S^2+1))

expand

\frac{1}{( 3 S + 1 ) S ^{2} ( S ^{2} + 1 )}

\frac{1}{3 S ^{5} + 3 S ^{3} + S ^{4} + S ^{2}}

Solution steps

\frac{1}{( 3 S + 1 ) S ^{2} ( S ^{2} + 1 )}

Expand

(3 S + 1) S^{2} (S^{2} + 1) : 3 S^{5} + 3 S^{3} + S^{4} + S^{2}

= \frac{1}{3 S ^{5} + 3 S ^{3} + S ^{4} + S ^{2}}

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What is expand 1/((3S+1)S^2(S^2+1)) ?
The solution to expand 1/((3S+1)S^2(S^2+1)) is 1/(3S^5+3S^3+S^4+S^2)