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5\left(x^{2}-8xy+16y^{2}\right)
Factor out 5.
\left(x-4y\right)^{2}
Consider x^{2}-8xy+16y^{2}. Use the perfect square formula, a^{2}-2ab+b^{2}=\left(a-b\right)^{2}, where a=x and b=4y.
5\left(x-4y\right)^{2}
Rewrite the complete factored expression.