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2\left(9k^{4}+30k^{3}+25k^{2}\right)
Factor out 2.
k^{2}\left(9k^{2}+30k+25\right)
Consider 9k^{4}+30k^{3}+25k^{2}. Factor out k^{2}.
\left(3k+5\right)^{2}
Consider 9k^{2}+30k+25. Use the perfect square formula, a^{2}+2ab+b^{2}=\left(a+b\right)^{2}, where a=3k and b=5.
2k^{2}\left(3k+5\right)^{2}
Rewrite the complete factored expression.