$$(\frac{1}{2}+x^{2}-\frac{3}{4})^{2}$$
$\frac{\left(4x^{2}-1\right)^{2}}{16}$
$$\left(-\frac{1}{4}+x^{2}\right)^{2}$$
$$\frac{1}{16}-\frac{1}{2}x^{2}+\left(x^{2}\right)^{2}$$
$$\frac{1}{16}-\frac{1}{2}x^{2}+x^{4}$$
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$x^{4}-\frac{x^{2}}{2}+\frac{1}{16}$