What is expand (30x^2)/((1+x^2)^2) ?

The solution to expand (30x^2)/((1+x^2)^2) is (30x^2)/(1+2x^2+x^4)

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expand (30x^2)/((1+x^2)^2)

expand

\frac{30 x ^{2}}{( 1 + x ^{2} ) ^{2}}

\frac{30 x ^{2}}{1 + 2 x ^{2} + x ^{4}}

Solution steps

\frac{30 x ^{2}}{( 1 + x ^{2} ) ^{2}}

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

= \frac{30 x ^{2}}{1 + 2 x ^{2} + x ^{4}}

3 (- 0.4 e^{- 0.4 x} + 0.6 e^{- 0.6 x})

(x^{2} - 4) (x - 2)

(2 x + 1) (2 x + 2Δ x - 1)

\frac{3 ( - 3 - x )}{4}

(- 1 - i)^{15}

What is expand (30x^2)/((1+x^2)^2) ?
The solution to expand (30x^2)/((1+x^2)^2) is (30x^2)/(1+2x^2+x^4)