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

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

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

expand

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

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

Solution steps

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

(x - 1)^{2} = x^{2} - 2 x + 1

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

Expand

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

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

343 \cdot 63

(\frac{2 m}{3} + 7 b) (\frac{2 m}{3} - 7 b)

(x + \frac{1}{2}) (x + \frac{11}{2})

\frac{90 ( s + 0.3 )}{( s + 3.8 ) ( s - 2.9 ) ( s + 10 )}

\frac{1}{s ( s ^{2} + 2 s + 10 )}

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