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\frac{3x^{2}-3}{x+1}
Express \left(3x^{2}-3\right)\times \frac{1}{x+1} as a single fraction.
\frac{3\left(x-1\right)\left(x+1\right)}{x+1}
Factor the expressions that are not already factored.
3\left(x-1\right)
Cancel out x+1 in both numerator and denominator.
3x-3
Expand the expression.
\frac{3x^{2}-3}{x+1}
Express \left(3x^{2}-3\right)\times \frac{1}{x+1} as a single fraction.
\frac{3\left(x-1\right)\left(x+1\right)}{x+1}
Factor the expressions that are not already factored.
3\left(x-1\right)
Cancel out x+1 in both numerator and denominator.
3x-3
Expand the expression.