What is expand (x^3+x^2+2x+6)/((x^2+1)^2) ?

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

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expand (x^3+x^2+2x+6)/((x^2+1)^2)

expand

\frac{x ^{3} + x ^{2} + 2 x + 6}{( x ^{2} + 1 ) ^{2}}

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

Solution steps

\frac{x ^{3} + x ^{2} + 2 x + 6}{( x ^{2} + 1 ) ^{2}}

(x^{2} + 1)^{2} = x^{4} + 2 x^{2} + 1

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

U (1, 0, - 2) + v (3, 1, - 2)

\frac{cos ( x )}{sin ( x )}

(- 1 + \frac{i}{n})^{3}

(z + \frac{1}{4}) (z - \frac{1}{2})

(a + x)^{2}

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