Question

Simplify the fraction

Answer 1

$\dfrac{\frac{4t^2 - 16}{8}}{\frac{t - 2}{6}} =$

$= \dfrac{\frac{4(t^2 - 4)}{8}}{\frac{t - 2}{6}}$

$= \dfrac{\frac{(t + 2)(t - 2)}{2}}{\frac{t - 2}{6}}$

$= \dfrac{(t + 2)(t - 2)}{2} \times \dfrac{6}{t - 2}$

$= \dfrac{t + 2}{1} \times \dfrac{3}{1}$

$= 3(t + 2)$

Answer: Choice A.