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\frac{x\left(x+3\right)^{2}}{2\left(x+1\right)\left(x+3\right)x^{2}}
Factor the expressions that are not already factored.
\frac{x+3}{2x\left(x+1\right)}
Cancel out x\left(x+3\right) in both numerator and denominator.
\frac{x+3}{2x^{2}+2x}
Expand the expression.
\frac{x\left(x+3\right)^{2}}{2\left(x+1\right)\left(x+3\right)x^{2}}
Factor the expressions that are not already factored.
\frac{x+3}{2x\left(x+1\right)}
Cancel out x\left(x+3\right) in both numerator and denominator.
\frac{x+3}{2x^{2}+2x}
Expand the expression.