What is expand (4x^2)/((1+x^2)^3) ?

The solution to expand (4x^2)/((1+x^2)^3) is (4x^2)/(1+3x^2+3x^4+x^6)

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expand (4x^2)/((1+x^2)^3)

expand

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

\frac{4 x ^{2}}{1 + 3 x ^{2} + 3 x ^{4} + x ^{6}}

Solution steps

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

(1 + x^{2})^{3} = 1 + 3 x^{2} + 3 x^{4} + x^{6}

= \frac{4 x ^{2}}{1 + 3 x ^{2} + 3 x ^{4} + x ^{6}}

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

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

\frac{( x - 7 ) ^{2} ( m x - 7 m )}{( x - 7 ) ^{3} + ( m x - 7 m ) ^{2}}

\frac{d}{d t} ((r (t, y, x)) (y + x cos (t)))

\frac{9}{x ( x + 6 )}

What is expand (4x^2)/((1+x^2)^3) ?
The solution to expand (4x^2)/((1+x^2)^3) is (4x^2)/(1+3x^2+3x^4+x^6)