What is expand (-4x^2+6x+4)/((1+x^2)^2) ?

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

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expand (-4x^2+6x+4)/((1+x^2)^2)

expand

\frac{- 4 x ^{2} + 6 x + 4}{( 1 + x ^{2} ) ^{2}}

\frac{- 4 x ^{2} + 6 x + 4}{1 + 2 x ^{2} + x ^{4}}

Solution steps

\frac{- 4 x ^{2} + 6 x + 4}{( 1 + x ^{2} ) ^{2}}

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

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

\frac{k ( k - 1 ) ! ( k + 1 ) + ( 2 k - 1 ) !}{k ( 2 k - 1 ) ! ( 4 k + 1 )}

\frac{( 3 x ( x + 6 ) ^{3} )}{3} - (x + 6)^{3}

\frac{( 2 x + 7 ) ( 1 - 5 x ) ( x + 2 )}{x ( 1 - x ) ^{2}}

\frac{14 !}{( 14 - 4 ) 4 !}

(x - 3)^{\frac{5}{3}} (x + 2)

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