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