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\frac{\left(x+1\right)\left(x+2\right)\left(x+3\right)}{\left(x+2\right)\left(x+3\right)}p
Factor the expressions that are not already factored in \frac{\left(x+2\right)\left(x^{2}+4x+4\right)-x-2}{x\left(x+5\right)+6}.
\left(x+1\right)p
Cancel out \left(x+2\right)\left(x+3\right) in both numerator and denominator.
xp+p
Use the distributive property to multiply x+1 by p.
\frac{\left(x+1\right)\left(x+2\right)\left(x+3\right)}{\left(x+2\right)\left(x+3\right)}p
Factor the expressions that are not already factored in \frac{\left(x+2\right)\left(x^{2}+4x+4\right)-x-2}{x\left(x+5\right)+6}.
\left(x+1\right)p
Cancel out \left(x+2\right)\left(x+3\right) in both numerator and denominator.
xp+p
Use the distributive property to multiply x+1 by p.