What is expand (1+4x^2)/((1-x^2)^2) ?

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

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expand (1+4x^2)/((1-x^2)^2)

expand

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

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

Solution steps

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

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

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

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

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

, (9 + 3 i) (9 - 3 i)

4 (a + 3) - 2 (a + 20)

\frac{7}{8} - \frac{3}{4}

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