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

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

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

expand

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

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

Solution steps

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

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

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

Expand

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

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

\frac{4 - 2 x}{( 3 x + 2 ) ( 1 - x )}

\frac{\partial}{\partial q} (1) - p (1 + q)

2 x + ∣ x ∣ (x - 1)

cos (2) (t + π - \frac{π}{2})

e^{y} (2 - cos (x)) - e^{(- y)} (2 + cos (x))

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