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\frac{\left(x^{2}+x-6\right)\left(3x+3\right)}{\left(x^{2}+3x+2\right)\left(x-2\right)}
Multiply \frac{x^{2}+x-6}{x^{2}+3x+2} times \frac{3x+3}{x-2} by multiplying numerator times numerator and denominator times denominator.
\frac{3\left(x-2\right)\left(x+1\right)\left(x+3\right)}{\left(x-2\right)\left(x+1\right)\left(x+2\right)}
Factor the expressions that are not already factored.
\frac{3\left(x+3\right)}{x+2}
Cancel out \left(x-2\right)\left(x+1\right) in both numerator and denominator.
\frac{3x+9}{x+2}
Expand the expression.
\frac{\left(x^{2}+x-6\right)\left(3x+3\right)}{\left(x^{2}+3x+2\right)\left(x-2\right)}
Multiply \frac{x^{2}+x-6}{x^{2}+3x+2} times \frac{3x+3}{x-2} by multiplying numerator times numerator and denominator times denominator.
\frac{3\left(x-2\right)\left(x+1\right)\left(x+3\right)}{\left(x-2\right)\left(x+1\right)\left(x+2\right)}
Factor the expressions that are not already factored.
\frac{3\left(x+3\right)}{x+2}
Cancel out \left(x-2\right)\left(x+1\right) in both numerator and denominator.
\frac{3x+9}{x+2}
Expand the expression.