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x^{2}\left(25y^{2}+90y+81\right)
Factor out x^{2}.
\left(5y+9\right)^{2}
Consider 25y^{2}+90y+81. Use the perfect square formula, a^{2}+2ab+b^{2}=\left(a+b\right)^{2}, where a=5y and b=9.
x^{2}\left(5y+9\right)^{2}
Rewrite the complete factored expression.