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