Question
What must be subtracted from $a^3-4 a^2+5 a-6$ to obtain $a^2-2 a+1$ ?

Answer

$=a^3-4 a^2+5 a-6-\left(a^2-2 a+1\right)$
$=a^3-4 a^2+5 a-6-a^2+2 a-1$
$=a^3-5 a^2+7 a-7$

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