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\frac{\left(4x^{4}+4x^{3}-9x^{2}-x-1\right)x}{x}+\frac{2}{x}
To add or subtract expressions, expand them to make their denominators the same. Multiply 4x^{4}+4x^{3}-9x^{2}-x-1 times \frac{x}{x}.
\frac{\left(4x^{4}+4x^{3}-9x^{2}-x-1\right)x+2}{x}
Since \frac{\left(4x^{4}+4x^{3}-9x^{2}-x-1\right)x}{x} and \frac{2}{x} have the same denominator, add them by adding their numerators.
\frac{4x^{5}+4x^{4}-9x^{3}-x^{2}-x+2}{x}
Do the multiplications in \left(4x^{4}+4x^{3}-9x^{2}-x-1\right)x+2.