What is expand (2x^3+x^2+5x-2)/((x^2+1)(x^2+4)) ?

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

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expand (2x^3+x^2+5x-2)/((x^2+1)(x^2+4))

expand

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

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

Solution steps

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

Expand

(x^{2} + 1) (x^{2} + 4) : x^{4} + 5 x^{2} + 4

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

\frac{1}{4 ( x + 7 )}

(a + b + c + d + e)^{2}

(- 3 + 3) + (- 33 - 1) i

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

\frac{15 π ( 17 - 5 )}{4}

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