What is expand (25(x^2-1))/((x^2+1)^2) ?

The solution to expand (25(x^2-1))/((x^2+1)^2) is (25x^2-25)/(x^4+2x^2+1)

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expand (25(x^2-1))/((x^2+1)^2)

expand

\frac{25 ( x ^{2} - 1 )}{( x ^{2} + 1 ) ^{2}}

\frac{25 x ^{2} - 25}{x ^{4} + 2 x ^{2} + 1}

Solution steps

\frac{25 ( x ^{2} - 1 )}{( x ^{2} + 1 ) ^{2}}

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

= \frac{25 ( x ^{2} - 1 )}{x ^{4} + 2 x ^{2} + 1}

Expand

25 (x^{2} - 1) : 25 x^{2} - 25

= \frac{25 x ^{2} - 25}{x ^{4} + 2 x ^{2} + 1}

x^{4} - 2 x - 16 x^{2} + 2 x + 15

\frac{( 4 a + 1 ) ^{2}}{16}

e^{8 (3 - t)}

\frac{d}{d p} ((q) (40 - 2 q))

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

What is expand (25(x^2-1))/((x^2+1)^2) ?
The solution to expand (25(x^2-1))/((x^2+1)^2) is (25x^2-25)/(x^4+2x^2+1)