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

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

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expand (derivative of x^2-1)/((x+1)^2)

expand

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

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

Solution steps

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

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

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

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

(1 - cos (x))^{2} + sin^{2} (x)

(x + \frac{3}{4})^{2}

6 (3 e^{3 x} cos (2 x) - 2 e^{3 x} sin (2 x))

2 - (sin (x) + cos (y)) 2 - (cos (x) + sin (y)) 2

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