Simplify 4t^2- 16/8/t - 2/6

WE have to simplify [(4t^2-16) / 8] / [(t-2) /
6]

[(4t^2-16) / 8] / [(t-2) /
6]

=> [(4t^2-16) / 8] * [6 /
(t-2)]

=> [(4t^2-16)*6 /
8*(t-2)]

=> [(2t - 4)(2t + 4)*6 /
8*(t-2)]

=>[4(t - 2)(t + 2)*6 /
8*(t-2)]

=> [(t - 2)(t + 2)*3 /
(t-2)]

=> [(t + 2)*3 ]

=>
3t + 6

Therefore [(4t^2-16) / 8] / [(t-2) / 6] = 3t +
6