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