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4\left(4z^{2}-20zv+25v^{2}\right)
Factor out 4.
\left(2z-5v\right)^{2}
Consider 4z^{2}-20zv+25v^{2}. Use the perfect square formula, a^{2}-2ab+b^{2}=\left(a-b\right)^{2}, where a=2z and b=5v.
4\left(2z-5v\right)^{2}
Rewrite the complete factored expression.