$$p(x)=4 { x }^{ 3 } -6 { x }^{ 2 } +3x+14$$
$3\left(2x-1\right)^{2}$
$$3\times 4x^{3-1}+2\left(-6\right)x^{2-1}+3x^{1-1}$$
$$12x^{3-1}+2\left(-6\right)x^{2-1}+3x^{1-1}$$
$$12x^{2}+2\left(-6\right)x^{2-1}+3x^{1-1}$$
$$12x^{2}-12x^{2-1}+3x^{1-1}$$
$$12x^{2}-12x^{1}+3x^{1-1}$$
$$12x^{2}-12x^{1}+3x^{0}$$
$$12x^{2}-12x+3x^{0}$$
$$12x^{2}-12x+3\times 1$$
$$12x^{2}-12x+3$$
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$4x^{3}-6x^{2}+3x+14$