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5\left(x^{4}+6x^{3}+9x^{2}\right)
Factor out 5.
x^{2}\left(x^{2}+6x+9\right)
Consider x^{4}+6x^{3}+9x^{2}. Factor out x^{2}.
\left(x+3\right)^{2}
Consider x^{2}+6x+9. Use the perfect square formula, a^{2}+2ab+b^{2}=\left(a+b\right)^{2}, where a=x and b=3.
5x^{2}\left(x+3\right)^{2}
Rewrite the complete factored expression.