What is expand (x+1+x^2)/(x^2(x^2+2x+5)) ?

The solution to expand (x+1+x^2)/(x^2(x^2+2x+5)) is (x+1+x^2)/(x^4+2x^3+5x^2)

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expand (x+1+x^2)/(x^2(x^2+2x+5))

expand

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

\frac{x + 1 + x ^{2}}{x ^{4} + 2 x ^{3} + 5 x ^{2}}

Solution steps

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

Expand

x^{2} (x^{2} + 2 x + 5) : x^{4} + 2 x^{3} + 5 x^{2}

= \frac{x + 1 + x ^{2}}{x ^{4} + 2 x ^{3} + 5 x ^{2}}

(x - 1 + 7) (x - 1 - 7)

(z + \frac{3}{5}) (z - \frac{3}{5})

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

2 x (x + 1)

What is expand (x+1+x^2)/(x^2(x^2+2x+5)) ?
The solution to expand (x+1+x^2)/(x^2(x^2+2x+5)) is (x+1+x^2)/(x^4+2x^3+5x^2)