$$(8 { x }^{ { 4 }^{ } } +10 { x }^{ 3 } -5 { x }^{ 3 } -4x+1)/(2 { x }^{ 2 } +x+1)$$
$\frac{8x^{4}+5x^{3}-4x+1}{2x^{2}+x+1}$
$$\frac{8x^{4}+10x^{3}-5x^{3}-4x+1}{2x^{2}+x+1}$$
$$\frac{8x^{4}+5x^{3}-4x+1}{2x^{2}+x+1}$$
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$\frac{32x^{5}+34x^{4}+42x^{3}+23x^{2}-4x-5}{\left(2x^{2}+x+1\right)^{2}}$