Question

I have a problem. It says to simplify: t-2/t+4 x 4t+16/2t^2-8

Answer 1

(t-2)/(t+4) x (4t+16)/(2t^2-8)

= (t-2)/(t+4) x 4(t+4)/[2(t^2-4)]
= (t-2) x 2/[t+2)(t-2)]
= 2/(t+2)

It is important to show parentheses and brackets in problems like this! Otherseise the order of mathematical operations is unclear, and you can get different answers.