$$B ( x ) = 2 x ^ { 2 } - 8 - ( x + 2 ) ( - 2 x + 6 )$$
$2\left(2x-5\right)\left(x+2\right)$
$$2x^{2}-8-\left(-2x^{2}+2x+12\right)$$
$$2x^{2}-8+2x^{2}-2x-12$$
$$4x^{2}-8-2x-12$$
$$4x^{2}-20-2x$$
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$4x^{2}-2x-20$