Question

How do you simplify `(x^2-12x+32)/(x^2-6x-16) div (x^2-x-12)/(x^2-5x-24)`?

Answer 1

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

Explanation:

`=((x-4)cancel((x-8)))/((x+2)cancel((x-8)))*(cancel((x+3))(x-8))/(cancel((x+3))(x-4))`

`=(cancel((x-4))(x-8))/((x+2)cancel((x-4)))=(x-8)/(x+2)`