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\left(2-z\right)\left(2+z\right)
Rewrite 4-z^{2} as 2^{2}-z^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
\left(-z+2\right)\left(z+2\right)
Reorder the terms.