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

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

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

expand

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

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

Solution steps

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

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

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

(- 2 a^{3})^{2}

\frac{( 4 x - 11 )}{( 2 x ^{2} + 7 x - 4 ) d x}

\frac{( s ( 20 + s ^{2} ) ( 37 + 36 s ) )}{10 ( s + 1 )}

cos (2 \cdot 4 5^{\circ})

2 (u (u + 1))

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