If \( 2 f\left(x^{2}\right)+3 f\left(1 / x^{2}\right)=x^{2}-1 \) for all \( x \in R \sim\{0\} \)....
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If \( 2 f\left(x^{2}\right)+3 f\left(1 / x^{2}\right)=x^{2}-1 \) for all \( x \in R \sim\{0\} \). Then
\( \mathrm{P} \)
\( f\left(x^{2}\right) \) is equal to
W.
(1) \( \frac{1-x^{4}}{5 x^{2}} \)
(2) \( \frac{\left(1-x^{2}\right)\left(3+2 x^{2}\right)}{5 x^{2}} \)
(3) \( \frac{\left(1-x^{2}\right)\left(3-2 x^{2}\right)}{3 x^{2}} \)
(4) \( \frac{1-x^{2}}{5 x^{2}} \)
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