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

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

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

expand

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

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

Solution steps

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

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

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

Expand

x^{2} (x^{4} + 6 x^{2} + 9) : x^{6} + 6 x^{4} + 9 x^{2}

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

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

(\frac{1}{x ^{3}} - 2 x)^{16}

(cos (x) + 1)^{2}

(sin (t) - t cos (t))^{2}

(4 + z) (10 + z)

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