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\frac{3x^{2}-1+1}{1+x}
Since \frac{3x^{2}-1}{1+x} and \frac{1}{1+x} have the same denominator, add them by adding their numerators.
\frac{3x^{2}}{1+x}
Combine like terms in 3x^{2}-1+1.
\frac{3x^{2}-1+1}{1+x}
Since \frac{3x^{2}-1}{1+x} and \frac{1}{1+x} have the same denominator, add them by adding their numerators.
\frac{3x^{2}}{1+x}
Combine like terms in 3x^{2}-1+1.