Question

How do you simplify the expression `(x^2-10x+24)/(x^2-12x+36)`?

Answer 1

`= ((x-4))/((x-6))`

Explanation:

Although this is a fraction, we may not cancel any of the terms at all. The whole fraction is one term, but there are 3 terms in the numerator and 3 terms in the denominator.

IN order to cancel we have to find the factors first.

`((x -6)(x-4))/((x-6)(x-6))`

`= (cancel(x -6)(x-4))/(cancel(x-6)(x-6))`

`= ((x-4))/((x-6))`