Question

\frac{5x + 3}{x - 2} - \frac{x - 3}{x - 2}

\frac{4x + 6}{x - 2}

use the optional scratchpad.

\frac{ }{x - 2}

Explanation:

Step1: Combine fractions (same denominator)

$\frac{(5x+3)-(x-3)}{x-2}$

Step2: Simplify numerator terms

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

Step3: Combine like terms in numerator

$\frac{(5x-x)+(3+3)}{x-2} = \frac{4x+6}{x-2}$

Step4: Factor numerator (optional simplification)

$\frac{2(2x+3)}{x-2}$

Answer:

$\frac{4x+6}{x-2}$ (o simplificado como $\frac{2(2x+3)}{x-2}$)