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\left(-p\right)^{2}+4\left(-p\right)+4
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(-p+2\right)^{2}.
p^{2}+4\left(-p\right)+4
Calculate -p to the power of 2 and get p^{2}.
p^{2}-4p+4
Multiply 4 and -1 to get -4.
\left(-p\right)^{2}+4\left(-p\right)+4
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(-p+2\right)^{2}.
p^{2}+4\left(-p\right)+4
Calculate -p to the power of 2 and get p^{2}.
p^{2}-4p+4
Multiply 4 and -1 to get -4.