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2\left(x^{2}+2xy+y^{2}\right)
Factor out 2.
\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.
2\left(x+y\right)^{2}
Rewrite the complete factored expression.