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2\left(25x^{2}z+30xyz+9y^{2}z\right)
Factor out 2.
z\left(25x^{2}+30xy+9y^{2}\right)
Consider 25x^{2}z+30xyz+9y^{2}z. Factor out z.
\left(5x+3y\right)^{2}
Consider 25x^{2}+30xy+9y^{2}. Use the perfect square formula, a^{2}+2ab+b^{2}=\left(a+b\right)^{2}, where a=5x and b=3y.
2z\left(5x+3y\right)^{2}
Rewrite the complete factored expression.