Question

How do you simplify `(9cos^2alpha-25)/(2cosalpha-2)*(cos^2alpha-1)/(6cosalpha-10)`?

Answer 1

Factor and eliminate.

`((3cosalpha + 5)(3cosalpha - 5))/(2(cosalpha - 1)) xx ((cosalpha + 1)(cosalpha - 1))/(2(3cosalpha - 5))`

`=((3cosalpha + 5)(cosalpha + 1))/4`

`=1/4(3cosalpha + 5)(cosalpha + 1)`

Hopefully this helps!