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

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

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

expand

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

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

Solution steps

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

Expand

(x^{2} + 1) (x^{2} + 2) : x^{4} + 3 x^{2} + 2

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

(x^{2} + 2 x) e^{x}

3 (22 - 1)

(1 + 2 sin (x))^{5}

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

\frac{6 e ^{x} ( - e ^{x} + 6 )}{( 6 + e ^{x} ) ^{3}}

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