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\frac{4+3x-2}{x^{2}+1}
Since \frac{4}{x^{2}+1} and \frac{3x-2}{x^{2}+1} have the same denominator, add them by adding their numerators.
\frac{2+3x}{x^{2}+1}
Combine like terms in 4+3x-2.
\frac{4+3x-2}{x^{2}+1}
Since \frac{4}{x^{2}+1} and \frac{3x-2}{x^{2}+1} have the same denominator, add them by adding their numerators.
\frac{2+3x}{x^{2}+1}
Combine like terms in 4+3x-2.