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

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

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

expand

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

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

Solution steps

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

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

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

Expand

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

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

\frac{( x ^{2} + y ^{2} ) - ( 2 x )}{( x ^{2} + y ^{2} ) ^{2}}

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

3 sin (\frac{π}{4} (x - 5)) + 5

\frac{\partial}{\partial x} ((z) (x^{3} z^{5} + sin (y^{7} z^{5}) + 6))

3 (3 d - 4 e) + 2 (d - 5 e)

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