What is expand (x^2+15)/((x+3)^2(x^2+3)) ?

The solution to expand (x^2+15)/((x+3)^2(x^2+3)) is (x^2+15)/(x^4+12x^2+6x^3+18x+27)

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expand (x^2+15)/((x+3)^2(x^2+3))

expand

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

\frac{x ^{2} + 15}{x ^{4} + 12 x ^{2} + 6 x ^{3} + 18 x + 27}

Solution steps

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

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

= \frac{x ^{2} + 15}{( x ^{2} + 6 x + 9 ) ( x ^{2} + 3 )}

Expand

(x^{2} + 6 x + 9) (x^{2} + 3) : x^{4} + 12 x^{2} + 6 x^{3} + 18 x + 27

= \frac{x ^{2} + 15}{x ^{4} + 12 x ^{2} + 6 x ^{3} + 18 x + 27}

\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+15)/((x+3)^2(x^2+3)) ?
The solution to expand (x^2+15)/((x+3)^2(x^2+3)) is (x^2+15)/(x^4+12x^2+6x^3+18x+27)