What is expand (c(c+2))/((c^2+1)^2) ?

The solution to expand (c(c+2))/((c^2+1)^2) is (c^2+2c)/(c^4+2c^2+1)

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expand (c(c+2))/((c^2+1)^2)

expand

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

\frac{c ^{2} + 2 c}{c ^{4} + 2 c ^{2} + 1}

Solution steps

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

(c^{2} + 1)^{2} = c^{4} + 2 c^{2} + 1

= \frac{c ( c + 2 )}{c ^{4} + 2 c ^{2} + 1}

Expand

c (c + 2) : c^{2} + 2 c

= \frac{c ^{2} + 2 c}{c ^{4} + 2 c ^{2} + 1}

\frac{( 5 x - 1 ) ( 2 x + 1 )}{10}

\frac{3 ( 7 - 57 )}{20}

\frac{- 5 w + 18}{( w + 1 ) ( w - 3 )}

y^{'} (x) (x^{3} - cos (x))^{5}

What is expand (c(c+2))/((c^2+1)^2) ?
The solution to expand (c(c+2))/((c^2+1)^2) is (c^2+2c)/(c^4+2c^2+1)