Question

t^2+3t-270/t^2-225

Answer 1

if you use long division
which i cant figure out how i would post it
you get 1 + (3t - 45) / (t^2 - 225)

Answer 2

t^2+3t-270 t^2 + 18t - 15t - 270 t(t + 18) -15(t + 18)
----------- = -------------------- = -------------------
t^2-225 (t)^2 - (15)^2 (t - 15) (t + 15)
(t - 15)(t + 18) t + 18
= -------------- = ----------
(t - 15)(t + 15) t + 15