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