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p^{2}-8p-33+\left(p+6\right)^{2}
Use the distributive property to multiply p+3 by p-11 and combine like terms.
p^{2}-8p-33+p^{2}+12p+36
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(p+6\right)^{2}.
2p^{2}-8p-33+12p+36
Combine p^{2} and p^{2} to get 2p^{2}.
2p^{2}+4p-33+36
Combine -8p and 12p to get 4p.
2p^{2}+4p+3
Add -33 and 36 to get 3.
p^{2}-8p-33+\left(p+6\right)^{2}
Use the distributive property to multiply p+3 by p-11 and combine like terms.
p^{2}-8p-33+p^{2}+12p+36
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(p+6\right)^{2}.
2p^{2}-8p-33+12p+36
Combine p^{2} and p^{2} to get 2p^{2}.
2p^{2}+4p-33+36
Combine -8p and 12p to get 4p.
2p^{2}+4p+3
Add -33 and 36 to get 3.