$$(-4x^{2}+x+4)(2x+1)^{2}$$
$\left(2x+1\right)^{2}\left(4+x-4x^{2}\right)$
$$\left(-4x^{2}+x+4\right)\left(4x^{2}+4x+1\right)$$
$$-16x^{4}-12x^{3}+17x+16x^{2}+4$$
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$4+17x+16x^{2}-12x^{3}-16x^{4}$
