What is expand (21dx)/((x^2-1)^2) ?

The solution to expand (21dx)/((x^2-1)^2) is (21dx)/(x^4-2x^2+1)

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expand (21dx)/((x^2-1)^2)

expand

\frac{21 d x}{( x ^{2} - 1 ) ^{2}}

\frac{21 d x}{x ^{4} - 2 x ^{2} + 1}

Solution steps

\frac{21 d x}{( x ^{2} - 1 ) ^{2}}

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

= \frac{21 d x}{x ^{4} - 2 x ^{2} + 1}

\frac{( - 109 x ^{3} + 807 x ^{2} - 1015 x - 451 )}{8}

\frac{4 ( 2 x + y )}{x y}

(2 cos (t) - 2 sin (t)) \cdot (- 2 sin (t))

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

\frac{2 ( - 1 ) ^{k} + 3 ( - 1 ) ^{k - 1} + 2 \cdot 3 ^{1 + k} + 5}{2}

What is expand (21dx)/((x^2-1)^2) ?
The solution to expand (21dx)/((x^2-1)^2) is (21dx)/(x^4-2x^2+1)