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