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

The solution to expand (-x^2+2x+3)/((x^2+3)^2) is (-x^2+2x+3)/(x^4+6x^2+9)

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

expand

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

\frac{- x ^{2} + 2 x + 3}{x ^{4} + 6 x ^{2} + 9}

Solution steps

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

(x^{2} + 3)^{2} = x^{4} + 6 x^{2} + 9

= \frac{- x ^{2} + 2 x + 3}{x ^{4} + 6 x ^{2} + 9}

\frac{20 ( 249 - 2 )}{49}

(x^{3} - 4 x^{2} + x - 4) (x^{2} = 18 x + 82)

\frac{( x ) ( 2 x + 1 )}{2}

x^{3} + 10 x^{2} + 23 x^{1} + 14

\frac{1}{x ( a - b x ^{2} )}

What is expand (-x^2+2x+3)/((x^2+3)^2) ?
The solution to expand (-x^2+2x+3)/((x^2+3)^2) is (-x^2+2x+3)/(x^4+6x^2+9)