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