Question
Take $1 − a + a^2$ from $a^2 + a + 1.$

Answer

$(a^2 + a + 1) − (1 − a + a^2)$
$= a^2 + a + 1 − 1 + a − a^2$
$= a^2 − a^2 + a + a + 1 − 1$
$= 2a$

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