Which of the following is the product of the rational expressions shown below

ANSWERA.[tex]\frac{ {x}^{2} - 36}{ {x}^{2} - 9 } [/tex]EXPLANATIONThe rational expression is [tex] \frac{x + 6}{x + 3} \times \frac{x - 6}{x - 3} [/tex]Multiply the numerators and the denominators to get:[tex] \frac{(x + 6)(x - 6)}{(x + 3)(x - 3)} [/tex]Recall that:[tex](a + b)(a - b) = {a}^{2} - {b}^{2} [/tex]We apply this difference of two squares property to get:[tex] \frac{ {x}^{2} - {6}^{2} }{ {x}^{2} - {3}^{2} } [/tex][tex] \frac{ {x}^{2} - 36}{ {x}^{2} - 9 } [/tex]