Question

which expression is equal to \\(\frac{x + 5}{x + 3} \cdot \frac{(x + 3)(x - 5)}{x^2 + 3}\\) ?\
\\(\bigcirc \frac{(x + 5)^2}{x^2 + 9}\\)\
\\(\bigcirc \frac{(x + 5)(x - 5)}{x^2 + 9}\\)\
\\(\bigcirc \frac{(x + 5)^2}{x^2 + 3}\\)\
\\(\bigcirc \frac{(x + 5)(x - 5)}{x^2 + 3}\\)

Explanation:

Step1: Multiply numerators and denominators

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

Step2: Cancel common factor $(x+3)$

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

Answer:

$\boldsymbol{\frac{(x+5)(x-5)}{x^2+3}}$ (corresponding to the fourth option)