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

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

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

expand

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

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

Solution steps

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

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

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

(64 - 48 x^{2} + 12 x^{4} - x^{6}) \cdot (- \frac{1}{3})

H (t - a) (t - a)

H (t - a) (t - b)

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

(x^{2} + y^{2}) (y, x, e^{z}) + (x y + e^{z}) (2 x, 2 y, 0)

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