Evaluate
p\left(p+8\right)
Expand
p^{2}+8p
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p^{2}-2p+1-\left(1-10p\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(p-1\right)^{2}.
p^{2}-2p+1-1+10p
To find the opposite of 1-10p, find the opposite of each term.
p^{2}-2p+10p
Subtract 1 from 1 to get 0.
p^{2}+8p
Combine -2p and 10p to get 8p.
p^{2}-2p+1-\left(1-10p\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(p-1\right)^{2}.
p^{2}-2p+1-1+10p
To find the opposite of 1-10p, find the opposite of each term.
p^{2}-2p+10p
Subtract 1 from 1 to get 0.
p^{2}+8p
Combine -2p and 10p to get 8p.
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Limits
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