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

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

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

expand

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

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

Solution steps

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

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

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

Expand

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

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

(2 x y^{2} + 3 x^{2}) d x + (2 x^{2} y + 4 y^{3}) d y

2 (x + h)^{3} - 6 (x + h) - 2 x^{3} - 6 x

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

(2 a - \frac{1}{b})^{4}

\frac{6 ( s + 2 )}{( s + 1 ) ( s + 3 ) ( s + 4 )}

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