What is expand-(x^2+6x+21)/((x^2-3)(x+4)) ?

The solution to expand-(x^2+6x+21)/((x^2-3)(x+4)) is -(x^2+6x+21)/(x^3+4x^2-3x-12)

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expand-(x^2+6x+21)/((x^2-3)(x+4))

expand

- \frac{x ^{2} + 6 x + 21}{( x ^{2} - 3 ) ( x + 4 )}

- \frac{x ^{2} + 6 x + 21}{x ^{3} + 4 x ^{2} - 3 x - 12}

Solution steps

- \frac{x ^{2} + 6 x + 21}{( x ^{2} - 3 ) ( x + 4 )}

Expand

(x^{2} - 3) (x + 4) : x^{3} + 4 x^{2} - 3 x - 12

= - \frac{x ^{2} + 6 x + 21}{x ^{3} + 4 x ^{2} - 3 x - 12}

\frac{x ^{2} + 15}{( x + 3 ) ^{2} ( x ^{2} + 3 )}

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

π r^{2} (2 (- r + 30))

\frac{2 ( 3 x + 10 )}{( 4 + x ) ^{\frac{1}{2}}}

A (- 2, - \frac{π}{3})

What is expand-(x^2+6x+21)/((x^2-3)(x+4)) ?
The solution to expand-(x^2+6x+21)/((x^2-3)(x+4)) is -(x^2+6x+21)/(x^3+4x^2-3x-12)