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\frac{\left(3x^{2}-2x\right)x}{x}+\frac{1}{x}
To add or subtract expressions, expand them to make their denominators the same. Multiply 3x^{2}-2x times \frac{x}{x}.
\frac{\left(3x^{2}-2x\right)x+1}{x}
Since \frac{\left(3x^{2}-2x\right)x}{x} and \frac{1}{x} have the same denominator, add them by adding their numerators.
\frac{3x^{3}-2x^{2}+1}{x}
Do the multiplications in \left(3x^{2}-2x\right)x+1.