$$a ( a + 2 ) - 1 ( a + 2 )$$
$\left(a-1\right)\left(a+2\right)$
$$a^{2}+2a-\left(a+2\right)$$
$$a^{2}+2a-a-2$$
$$a^{2}+a-2$$
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$a^{2}+a-2$