Question

How do you simplify `(x^2+4x-32)/(x+5) * (x-3)/(x^2-7x+12)`?

Answer 1

You first factorise the quatratic parts, and then you may cancel some terms

Explanation:

`=((x+8)(x-4))/(x+5)*(x-3)/((x-3)(x-4))`

`=((x+8)cancel((x-4))cancel((x-3)))/((x+5)cancel((x-3))cancel((x-4)))`

`=(x+8)/(x+5)`