Question

How do you simplify `(x^2-7x+12)/(x^2-25) div (x-4)/(x-5)`?

Answer 1

Dividing by a fraction = multiplying by its inverse. Also you factorise the quadratic parts and see what you can cancel

Explanation:

`=((x-3)(x-4))/((x+5)(x-5))*(x-5)/(x-4)`

`=((x-3)cancel((x-4))cancel((x-5)))/((x+5)cancel((x-5))cancel((x-4)))`

`=(x-3)/(x+5)`