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\frac{\left(x+3\right)^{2}\left(x+2\right)}{x+3}
Divide \left(x+3\right)^{2} by \frac{x+3}{x+2} by multiplying \left(x+3\right)^{2} by the reciprocal of \frac{x+3}{x+2}.
\left(x+2\right)\left(x+3\right)
Cancel out x+3 in both numerator and denominator.
x^{2}+5x+6
Use the distributive property to multiply x+2 by x+3 and combine like terms.
\frac{\left(x+3\right)^{2}\left(x+2\right)}{x+3}
Divide \left(x+3\right)^{2} by \frac{x+3}{x+2} by multiplying \left(x+3\right)^{2} by the reciprocal of \frac{x+3}{x+2}.
\left(x+2\right)\left(x+3\right)
Cancel out x+3 in both numerator and denominator.
x^{2}+5x+6
Use the distributive property to multiply x+2 by x+3 and combine like terms.