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