What is expand 1/(x^2(x^2+6x+7)) ?

The solution to expand 1/(x^2(x^2+6x+7)) is 1/(x^4+6x^3+7x^2)

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expand 1/(x^2(x^2+6x+7))

expand

\frac{1}{x ^{2} ( x ^{2} + 6 x + 7 )}

\frac{1}{x ^{4} + 6 x ^{3} + 7 x ^{2}}

Solution steps

\frac{1}{x ^{2} ( x ^{2} + 6 x + 7 )}

Expand

x^{2} (x^{2} + 6 x + 7) : x^{4} + 6 x^{3} + 7 x^{2}

= \frac{1}{x ^{4} + 6 x ^{3} + 7 x ^{2}}

(- \frac{x ^{5}}{2} + y) (4 x^{2} - x y + y^{3})

\frac{x ^{3} - 8 x ^{2} + 10 x - 1}{( x - 1 ) ^{2} ( x - 2 ) ( x - 3 )}

2 [(2 + t^{4}) (5 - t^{2})]

\frac{3 s + 15}{( s - 3 ) ( s + 1 ) ( s ^{2} - 4 s )}

6 (e^{8000} - 1)^{3}

What is expand 1/(x^2(x^2+6x+7)) ?
The solution to expand 1/(x^2(x^2+6x+7)) is 1/(x^4+6x^3+7x^2)