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\frac{\left(x^{2}+x-2\right)\left(x^{2}+4x+3\right)}{\left(x+3\right)\left(x-1\right)}
Multiply \frac{x^{2}+x-2}{x+3} times \frac{x^{2}+4x+3}{x-1} by multiplying numerator times numerator and denominator times denominator.
\frac{\left(x-1\right)\left(x+1\right)\left(x+2\right)\left(x+3\right)}{\left(x-1\right)\left(x+3\right)}
Factor the expressions that are not already factored.
\left(x+1\right)\left(x+2\right)
Cancel out \left(x-1\right)\left(x+3\right) in both numerator and denominator.
x^{2}+3x+2
Expand the expression.
\frac{\left(x^{2}+x-2\right)\left(x^{2}+4x+3\right)}{\left(x+3\right)\left(x-1\right)}
Multiply \frac{x^{2}+x-2}{x+3} times \frac{x^{2}+4x+3}{x-1} by multiplying numerator times numerator and denominator times denominator.
\frac{\left(x-1\right)\left(x+1\right)\left(x+2\right)\left(x+3\right)}{\left(x-1\right)\left(x+3\right)}
Factor the expressions that are not already factored.
\left(x+1\right)\left(x+2\right)
Cancel out \left(x-1\right)\left(x+3\right) in both numerator and denominator.
x^{2}+3x+2
Expand the expression.