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\frac{3x^{2}}{x+5}+\frac{7x+10}{x+5}
Express 3\times \frac{x^{2}}{x+5} as a single fraction.
\frac{3x^{2}+7x+10}{x+5}
Since \frac{3x^{2}}{x+5} and \frac{7x+10}{x+5} have the same denominator, add them by adding their numerators.
\frac{3x^{2}}{x+5}+\frac{7x+10}{x+5}
Express 3\times \frac{x^{2}}{x+5} as a single fraction.
\frac{3x^{2}+7x+10}{x+5}
Since \frac{3x^{2}}{x+5} and \frac{7x+10}{x+5} have the same denominator, add them by adding their numerators.