What is expand (7x^3+x^2+49x+1)/((x^2+1)(x^2+7)) ?

The solution to expand (7x^3+x^2+49x+1)/((x^2+1)(x^2+7)) is (7x^3+x^2+49x+1)/(x^4+8x^2+7)

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expand (7x^3+x^2+49x+1)/((x^2+1)(x^2+7))

expand

\frac{7 x ^{3} + x ^{2} + 49 x + 1}{( x ^{2} + 1 ) ( x ^{2} + 7 )}

\frac{7 x ^{3} + x ^{2} + 49 x + 1}{x ^{4} + 8 x ^{2} + 7}

Solution steps

\frac{7 x ^{3} + x ^{2} + 49 x + 1}{( x ^{2} + 1 ) ( x ^{2} + 7 )}

Expand

(x^{2} + 1) (x^{2} + 7) : x^{4} + 8 x^{2} + 7

= \frac{7 x ^{3} + x ^{2} + 49 x + 1}{x ^{4} + 8 x ^{2} + 7}

\frac{3 x ^{2} + 3 x + 7}{( x - 2 ) ^{2} ( x ^{2} + 1 )}

19600 (- \frac{512}{3} + 432 π)

\frac{2 x}{( r + 1 ) ( r - 1 )}

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

- \frac{2 e ^{2}}{( 1 + e ^{2} ) ^{2}}

What is expand (7x^3+x^2+49x+1)/((x^2+1)(x^2+7)) ?
The solution to expand (7x^3+x^2+49x+1)/((x^2+1)(x^2+7)) is (7x^3+x^2+49x+1)/(x^4+8x^2+7)