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