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\frac{\left(x+3\right)\left(x+7\right)}{x+3}\times \frac{x+2}{x^{2}+9x+14}
Factor the expressions that are not already factored in \frac{x^{2}+10x+21}{x+3}.
\left(x+7\right)\times \frac{x+2}{x^{2}+9x+14}
Cancel out x+3 in both numerator and denominator.
\left(x+7\right)\times \frac{x+2}{\left(x+2\right)\left(x+7\right)}
Factor the expressions that are not already factored in \frac{x+2}{x^{2}+9x+14}.
\left(x+7\right)\times \frac{1}{x+7}
Cancel out x+2 in both numerator and denominator.
1
Cancel out x+7 and x+7.
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