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

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

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

expand

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

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

Solution steps

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

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

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

2 5^{2}

\frac{2 δ e ^{- π x}}{x ( x ^{2} + 1 )}

7 (2)^{3}

5 (x^{2})

2 e^{t} (2 t, - 5, t^{2})

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