$$(a+2)^{2}-(a-1)^{2}$$
$6a+3$
$$a^{2}+4a+4-\left(a-1\right)^{2}$$
$$a^{2}+4a+4-\left(a^{2}-2a+1\right)$$
$$a^{2}+4a+4-a^{2}+2a-1$$
$$4a+4+2a-1$$
$$6a+4-1$$
$$6a+3$$
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