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\frac{2x+5x^{2}}{3^{2}x^{2}}
Expand \left(3x\right)^{2}.
\frac{2x+5x^{2}}{9x^{2}}
Calculate 3 to the power of 2 and get 9.
\frac{x\left(5x+2\right)}{9x^{2}}
Factor the expressions that are not already factored.
\frac{5x+2}{9x}
Cancel out x in both numerator and denominator.
\frac{2x+5x^{2}}{3^{2}x^{2}}
Expand \left(3x\right)^{2}.
\frac{2x+5x^{2}}{9x^{2}}
Calculate 3 to the power of 2 and get 9.
\frac{x\left(5x+2\right)}{9x^{2}}
Factor the expressions that are not already factored.
\frac{5x+2}{9x}
Cancel out x in both numerator and denominator.