Question

1. $\frac{5x}{x-3} - \frac{2x+1}{x-3}$

Explanation:

Step1: Identify common denominator

Both fractions have denominator $x-3$.

Step2: Combine numerators

Subtract the second numerator from the first:
$5x - (2x+1) = 5x -2x -1$

Step3: Simplify numerator

Calculate the simplified numerator:
$5x -2x -1 = 3x -1$

Step4: Write final fraction

Place simplified numerator over the common denominator:
$\frac{3x-1}{x-3}$

Answer:

$\frac{3x-1}{x-3}$