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\frac{\left(2x^{2}+5x+3\right)x}{x}-\frac{3}{x}
To add or subtract expressions, expand them to make their denominators the same. Multiply 2x^{2}+5x+3 times \frac{x}{x}.
\frac{\left(2x^{2}+5x+3\right)x-3}{x}
Since \frac{\left(2x^{2}+5x+3\right)x}{x} and \frac{3}{x} have the same denominator, subtract them by subtracting their numerators.
\frac{2x^{3}+5x^{2}+3x-3}{x}
Do the multiplications in \left(2x^{2}+5x+3\right)x-3.