$$2(p-3)^{2}-3(c+1)^{2}$$
$-3\left(c+1\right)^{2}+2\left(p-3\right)^{2}$
$$2\left(p^{2}-6p+9\right)-3\left(c+1\right)^{2}$$
$$2p^{2}-12p+18-3\left(c+1\right)^{2}$$
$$2p^{2}-12p+18-3\left(c^{2}+2c+1\right)$$
$$2p^{2}-12p+18-3c^{2}-6c-3$$
$$2p^{2}-12p+15-3c^{2}-6c$$
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$2p^{2}-12p-3c^{2}-6c+15$
