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10\left(x^{2}-2xy+y^{2}\right)
Factor out 10.
\left(x-y\right)^{2}
Consider x^{2}-2xy+y^{2}. Use the perfect square formula, a^{2}-2ab+b^{2}=\left(a-b\right)^{2}, where a=x and b=y.
10\left(x-y\right)^{2}
Rewrite the complete factored expression.