$$2x^{2}(x+2)^{2}+x(x+2)-6$$
$2\left(x\left(x+2\right)\right)^{2}+x\left(x+2\right)-6$
$$2x^{2}\left(x^{2}+4x+4\right)+x\left(x+2\right)-6$$
$$2x^{4}+8x^{3}+8x^{2}+x\left(x+2\right)-6$$
$$2x^{4}+8x^{3}+8x^{2}+x^{2}+2x-6$$
$$2x^{4}+8x^{3}+9x^{2}+2x-6$$
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$2x^{4}+8x^{3}+9x^{2}+2x-6$